{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "%load_ext autoreload\n",
    "%autoreload 2\n",
    "\n",
    "%matplotlib inline\n",
    "from matplotlib import pyplot as plt\n",
    "plt.style.use('ggplot')\n",
    "plt.rcParams['figure.figsize'] = (6, 6)\n",
    "\n",
    "import sys\n",
    "sys.path.insert(0, '..')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Random forests and neural networks are powerful, but hard to explain. Linear models have interpretable coefficients, but they have hard time handling data which is not linearly separable. But near a given example data could be approximated well using a simpler classifier. The idea of LIME algorithm is to sample examples from a small neighborhood of a given example, and use a simpler estimator to approximate predictions of a black-box model.\n",
    "\n",
    "Let's try it with a synthetic dataset."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "from matplotlib import cm\n",
    "from IPython.display import HTML, display_html, display\n",
    "\n",
    "from sklearn.datasets import make_circles\n",
    "from sklearn.model_selection import train_test_split\n",
    "from sklearn.ensemble import RandomForestClassifier\n",
    "from sklearn.linear_model import LogisticRegression, ElasticNet, Ridge, RidgeCV, LogisticRegressionCV\n",
    "from sklearn.neighbors import KNeighborsClassifier\n",
    "\n",
    "import eli5\n",
    "from eli5.lime.samplers import UnivariateKernelDensitySampler, MultivariateKernelDensitySampler\n",
    "from eli5.lime import _train_local_classifier\n",
    "\n",
    "cmap = cm.get_cmap('viridis')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x108903748>"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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04SSOOYv05Ezie8QREhlUwehVY7Pm8dOC1VhSsgDI32Xngzmfcu/702s9Zk0Jjwnlpn+P\n5+uXf8LtdJNwbieuvHt0o83f2tGUY4dC0Tg47IUk/XUYvyAznft2qJHzxCn6je5DTJc2nDjoiU8M\njQ4mODKIRy/6P09BzHaelciIyReyY80erCc8e2fRHSMZMPbccse8avbFDJ7Qn1yLjZiENpj9TeW2\nK4+eF3Tl4c/+wd+/7KJtxyj6DO2JEIJhNwyotF90h0iiO0RW2qY62Kx5FNh803aVPq4rWWk5bFmx\ng4jYMM4afka539s5o8/knNFn1uu8iuqhVmIKRSOQa7Hxn+vfIHl3CgY/I31H9OLO/91SY0UWHBHE\nfYum8+lz3+J2uhg4/jyWPPGF13syLyuf9x/6hHs/mM4dr9/M8rdXodfrGHf/ZUTEVexUFBEXRkRc\nWK3uLbp9JKOaKLtFVHwEUfHhHN3lMYfqjXoS+nWst/GP7k7hlSkLSD+SicFs4JyL+jCzFt+bQlES\npcQULY6lT3/t9QAszC9k64od7Fl/gDMGls3OURVtOkRx5/9uAeDkofQKVyI9+ifQo39C3QRvAP7+\nZSdfvfQjbpfGGQO7MfGRK2utFAwmA7Pfm8YHcz7Fbisg4ZxOXFvHPbaSLPvPt6Qf8ThpuBwutq/Z\nw/G9qcT3rN9YJ0XtUY4dCkUjYLcV+Bw7HS5yytmjqimR8RFExIV5PQT1Bh2dzmpfRa+mw5KSxXsP\nfeLdw0rZf4Kw6BDGTK99MuPIuHDueW9audds1jy+eXUFToeTMdOG1zhrhdvlu//oKnRRWOCstayK\n+kfFiSkUdSAvK58lT35BXnY+/S7qw9Dry98LGjzhfPb9keRVXLFd29L7wu51nt9g1DP7vam8/9An\nFOQ56HxWB6577KpajbV6yXq2/LQdvyA/Jj05rk4OFxWRtOWQV4EBFNqd7N14sE5KrCLsuQXMnfAa\nx3anALBt1W6eXT4HU0j1HyFDJvbn8N9HvaVwOvRqpzLaNzNUxg5Fi+PIjmR+/XgD4bFhjJk6rE5x\nQVt+2cEvH/1K+17tGH7jwBqZtVyFLv476X8c+tvjyr53wwGcBU5G3TrE20Zza/z68QbSjmZw2T8u\nYu+6A+hNeq579CqCwgNrLXdJotpFcN+HM+o0xs/v/8Zn//ct+TmeFWPqgRM8+uU99V6rLK5bLIHh\nAeRZi7wnhac2WkOw9vONXgUGntitT+Z+zY3Pjqukly/nX94Pc4CJtcs2ERQewLUPXdEs00opWhbq\nF9SK2b1uH2/OWkTWiWwQsGPNHh74aGatii3+smgtX/z3e3IybRhMevb+kcQdr00ut21Opg2bxUab\njlHeh1jKgZM+2Sfycwr468ftXiUmpeSVKe+wbdUu3C6NsJhQpr4wiT5DetTizhuWzT9u9yow8Nzb\n8X0n6FzPpsl23WMYM3U4az7agNvlpn3PWK596Ip6neMUpQO7Pedq/jvpO6I3fUf0rg+RFA2AymKv\naFF8/+YqjwIDkJC0+TBHdh4v87DV3FqViu33T/70mvdchW72bNhPfo69TFqpb15dwc/v/0ZBnoPo\n9pHc+8F0wmNC8Q/2w2g2+jhWGEzFD86Th9LZ92eSd18l60Q23//v52apxIylVlzmADMBNUgoXBOu\nnDWaS+8YiavQVSaG7BSZKVZPPsaYMBIv61urBMEDxyWyZvE6Dm07BkBsQhsmPTYeDXed5Fc0L5Q5\nUdGiKGPt0wmfc5kpVl6bvpCc9FzcLjcRsWGEx4ZywxPjiCztYi5KH4oy5sSsk9msfP9Xsk7kAHB0\n13Hen/Mps9+dQnT7SM6/oh/rlm3EnltATJc2XP+vq719NU0iZek7KHOiWXDD41dz8lA6qUlp+AX5\n0f+KfrTtHN1g8xmM+grTTR3efozXpi0k/VgmeqOevl/9xay3b6+xB+PKd38lJ9OGX6CZoIhA7v1w\nBhGx4c0mm7uiflBxYooWxeV3juLY7hQsKVno9ILuiZ3p0Lt4o/2tuxdxcMsR77H1RDZs8eS3+9fX\n9/q8+Q+fNJCMoxay03Mw+hnpPbhHmXImOZk2CnJLu7AXm90mP30Nw24YgPVENgn9Ovrsc8V0iSah\nX0d2/r4XzS0JjQ5m1C1DfMY6uPUoP7z5Mzq9jvEPXEabjk1T86lNxyge++oeDm07SmhUcJO6kH8+\n7wfSj3nc2t1ON7t+38ex3Sk1cqhIO5LB8rdXkZPhWWkX5Dn45pWf6PVe81sFK+qGplzsFS2J7ucn\n8M9FM1j72UbCY8MYcdMgH1NT6cS4p0hNSuPozmS6n18cNzV4Qn+6n92VVZ/8Tvsz4hg4LrFMv5gu\nbYhqH0HyHk/ZE6ET5GXlk7L/hLdWVkUeazqdjlnvTOHHBauxHLcyaPx5dE3s7L1+ZEcyr057x+ut\nd2jbMeYsm0VYm5BafDJ1JyDEn94XNv1DXrp93drdTjduZ81MgBnHLWVCGLLTc+osW32RdjiDd+7/\niPwcO9HtI5n60iT8gxrGfKtofrS8taOiXmnXPZYJc67koluHlNm8D2tbvgLwCzSX6w3Ye2APrnv0\nKgaNP69cc5XJz8g9703jzGE9MfubkJrk6K7jPH/TfG89r4r4fN4PzBnxHKsWrcVmzaNLqUwSK979\n1cfd/OShdDZ8uanSMVsDw28cREhUsPe401ntaV9Dt/b4HrGERhePYTAZ6Hpup/oSsU5IKXl1+rvs\nWX+AozuP89fybSy4Z3FTi9VicaOr019ToFZipwFSSn6Yv4oDfx0mtks04+6/tFxvspoy49XJvHnX\nB6Qfs2BJteIqdOEf7M8FV51TbpXh6hAVH8G5l/Rl++o93nOZyRa+f+Nnpr18Y7l9krYcZsU7a8gv\nyg6fdSKbr1/5kbH3FNfpKm26FDpBQEhArWQ8nTjn4jPxCzLz29I/CIkKZtz9l9aoXIumabz7z4+9\nKzGj2cDA8edxxT+aR1Le/Bx7mWTM6cmWClorqkIlAFY0CYsf/5zVi9fhdLjQ6QWpSWnMWlC7ysQl\nCQoPZOb/buGLeT9gy8qj94U96HpuJ2K6tKnTuEaTweMIUsIvQ2+q+MF6eHuyV4GBJ/PD8X0nfdqM\nvXcMe/9M4sj2ZHR6HT36d2Hg+PPqJOfpQq9B3ek1qHbB4Ps3HWL7mj1It+fLcjpc2HML+PjfX3Fg\n02EkkrH3jOGs4WfUp8jVxj/YD78gX6/MwFD18lJb3MrFXtEU7NmQhNPhKSCquSVHdiTjcrrrXCDR\nYS9k7sTXOLI9GYDd6/Zz15u31Vne/leew+ol69i/8RDgybgx/p+XVti+54CuhLYJITvNsw9jDjTR\n84KuPm0CQwN45PO72bZqN0azgTOH9qyX1WhrpyC3AJfT5XPu+N4Utq7Y4U0Z9d5DS3n0y9lExNYu\n6XFd0Ol03PjUeBY//jkFNgeh0cHcPu/6RpfjdEGtxBRNgl7v+/akM+jQ6ev+RrXj1z1eBQZgTc1m\n+VuruGv+rXUa12g28MBHd7L2s4048h0Muua8MtWUS9KuWwzXPXoVPy5YjebWOHNoT0ZMHlSmndnf\nxHmX9q2TbArY8PVmvnnlJ1yFLtr1iKV9zzhvto7Q6GD8gv18ch5mHrdyaNvRJlFiAH2G9OTZXx7G\nkV9YYayc4vRFKbHTgEtnjmLJk1+QdSKboIhAhl0/oFYBraUxmo3o9Dq0Eh5uulpkaSgPk5+R4TcO\nrHb7geMSy/V4VNQvWSezWfrMV1iOe5xkTh7OYNikgXQ+uwMFNgfDJg1ky0/bSdp8xGsODooIJDah\nbRNK7an8rhRY3VHmREWT0P+KfnTp24H9mw7RoVdcvcUl9b6wOz36J7BnwwGkJmnbOYprHrisXsZW\nNE9Sk9KwpmZ7j6UmyUy2+OST7JbYmRNJaaQeSAOdYNgNFxDXtWmVmKJ+UOZERZNRX9V9S6I36Pnn\n4jtY9/lG8rLzGTA2scnirhSNQ2xCGyJiQ8ksWokJnSAmwdeRx+Rn5J+L7yDQL4js3Ow6770qmg8N\nnXZq69atLFy4EE3TGDlyJGPHjvW5npGRweuvv05eXh6apnHDDTdwzjnnVDqmUmKKSjEY9QyZeEGd\nx3HYC9m6cic6neDsUX0wmtVPrzkS1jaUCY9c5d0Ta39GHBMfKb8cjX+QH3kFda/jpmgdaJrGO++8\nw6OPPkpkZCQPP/wwiYmJxMfHe9ssW7aMAQMGMHr0aJKTk3nuueeUElM0PXabpxbV4W3HQEC3czvz\nwMd3ekuTuAo93m+qLEfz4IIrz+GCKyt/cNSF7at389snfxAYGsC1D19RJkm0ouloyCz2Bw4cICYm\nhrZtPabngQMHsnHjRh8lJoQgP9+TKSg/P5/w8PByxyqJemooGpxvX1vpUWAA0hN7tOrDtYyeMpT3\nH/6Ebat3A3DWsDO4+bkJNU5OqyiL9UQ229fsJrp9JD0HdG02n+lfy7fx3oNLvcHTh7YdZc6yu+u9\n1pqidjSkOdFisRAZWbzlERkZyf79+33aXHvttTz99NMsX74ch8PBY489VuW4SokpGhx7rr3Mufyc\nfNZ9vpG1yzZSaPe4a69dtpEe/RMYcLXyQqwLB/8+yusz3iPjWCYmfxP9r+jHlBduaGqxAFjz0Xqf\nPIxHdx3n8LajPnk4FU1HfSQAfuihh7z/HjVqFKNGjap237Vr1zJs2DCuuOIK9u3bx6uvvsq8efMq\n9bZWSqwV8/2bP/PHV1tAeErHj7x5cIPMM/r2oWz9eReZRemA2nSMYuj1A/j+zV+8Cgyg0O4kaetR\npcTqyLL/fEdGUeb6QnshW1fuIP1YJtHt69fxpzboSzmBGIwGTP6mMu1OZZ9RAeuNS33kP5w7d265\n5yMiIsjMzPQeZ2ZmEhHhW4n8l19+Yc6cOQB0794dp9NJbm4uoaGhFc6nlFgzIDPFyr4/D9Kue0yN\nSmTUlLysfPJz7ETEhbFt1W6+eWWFN53T0Z3H+f7NX4jrFsMdr02u1T7Fn99v4e/fttNn6Bl0K5Fh\nPqZLG+59bypfv7oCIQTj/nkJEXHh9B3Zm3Wfb/Jmyw8MC+DsEb3q52ZbMVqpzPUup9vnZaEpufah\nK0jek0ra4QwMJgNnDjuDjn2K90Q0TWP+rEXs33gQoROcf3k/Jj5yZY3m0NwayXtTMRj1xHZt22xM\nqa2dhIQEUlNTSUtLIyIignXr1jFr1iyfNlFRUezYsYNhw4aRnJyM0+kkJKRyj2ilxJqYbat2s/DB\nj7GkZBEQ6s9Ftw5hXCUpmGqKlBIpJd++vpJVH66l0O4kukMksV3b+uQj1NwaGccsZByz8Nbsxcx+\nd0qN5lny5Bf8+tEG7LYCfn7/d8bdfxkjbirOqhHfM46Zr9/s0+fMoT25avbFrFvmyTY/cHwifYb2\nrMPdNmckQbyJWWxGoiNPXo+DYQ0y0wVXncORHcnel4P4nnHEdGm4opzl4XK60dxamb2uuK5teezL\n2WxZuYPQ6BD6jujlo2R+mL+KTd9txVVULmbVot/pM6QHgWEBfP3yT0gkl995EQmlqhicotBeyPM3\nvcnhbcfQG3ScMag7d82/tV6C/1sDDVlPTK/Xc9ttt/HMM8+gaRrDhw+nffv2LF26lISEBBITE5k8\neTLz58/nu+++A2DmzJlVvoQoJdbEfPXScm8JkfxsO2s+3sCY6SPqpZz99//7mTUfbcDpcJKTkevN\nr2izemIwjGaD91xJLKnWGs3jdrn5a/k27EUFLnMteaxZst5HiVXExVOGcfGUYTWaryXiz2cEiC/R\nCU9RUD2vYZHdcVP/BTOHXj8A/2A//vx2K6FRwUyYc0WjmuU+nfstG776C80t6dKvA3e+cQs6fbES\nCYkKZuh1A8rte2zXca8CA7DnOti+ejd/fve31xx9eFsy930wnfiesWX6f/nicvZuSPIe/71yJxu/\n3Ur/BvS2PJ3QGricyjnnnFPGZX7ixInef8fHx/Pvf/+7RmOq15MmprTpJ/tkDk9dMY9je1LqNO6R\nXcl898bPnDiYRuZxaxll5cgvpO+IXkTEhaEvlUoqOLziPIblITXpk5EePCtARTFmsd2rwAD0IgMj\n2xtsvvMv78ddb97KTU9fgzmg8dIx7fsziZ/f/42MYxYsKVa2/Lidr1/5sdr9zxx2Bv4lstKHRAeT\nm2nzKjDPp994AAAgAElEQVQAS4qV1R+tL7d/VppvsU6X003G8Zq9lLVm3FLU6a8pUCuxJqb34B4k\n70317llIKUk9kMb7D3/Co1/MrvW4h7Yew2bNq/D6iaQ0HPkOJj99LX6BJhY/+QUFuQ7C2oYw9aVJ\nNZrLYDLQ44IEsr/JxelwEhDiR+KlZ9Va9tMRl4xHokMIz0uLJoNx0bWKXi2PIzuPY88t8B67XRop\nB9Kq3X/Q+PNIP5LB5p92IHSCUbcMJi/LDmKjz4tSaFT5L1oXXns+21fvIScjF4DIduE1Sgq9dtlG\nVi9eB0Iw6uYLW90KriHNiQ2FUmJNzPgHLiMoLIDP/vs9zhKZwQvyHJX0qppu53UmJDqYnHTPf2a9\nUUdEXDiWlCxveXprajY/zP+FRz6/m2dWPITm1nzMPjVh6ouTOHNQL3as303fEb04//J+dZL/dMPG\nbRg4ikHuA/TY5SW4OP3cyntd2L1U2RwzvS+svJbZxu+28tM7a0DCoGvOY+y9lzD23uKCp06Hiy0r\ntrN/40EkkNCvIwGhASx58gvOHXMWPfoXf469BnXn5mevZdXideh0gqvuGUObjlHVkn3PhgN8/NSX\n3hCAEwfTiGwX0WyqWCvKRymxJkYIwZjpI9j4wzYObDrkPV/XwpPtusVwzQOXseLdX9HcGj0HdOXK\nuy/mXxf/h+wixQaguTR+ePNnMo5bGTyhP53ObF/r+7jijtEMuLZ1vblWHwNZ8mmgENAX/Z1+tOsW\nw/X/GsuPC1YjNY2zhvdi6PXl738BHN6RzIePLfMqvZQDJ4mIC/cpsukp3TPTo8QkrFq8jiVPfIGr\n0MW6zzdx3aNXcuG1/b3tEy/tS2ItSvL8+c0Wnxi2nPRcNv3wd6tSYioBsKLW3P3OFN65bwk2Sx5t\nOkVx6/9NrLpTFQy9foDPA0RKSYfe8ez4dQ9Sk/gH+5FrzWPps98gNcmmH7Yx9YVJ9BnSo85zKyqi\nbEzU6caAsecyYOy51Wq75aftXgUGHqejP7/dUqZStN6gp+eAbtiseezdcMCbqiw308bqxet9lFht\niesWg96o91oqDCY9cd1aV3Z+VYpFUWtCIoO4571pDTqHEILZ707hixeWk34sk/ZnxPHNKz95HDOA\nrBPZLH/rl9NWiek5jI58nCQAqvZUcyC2a1uMZiNOh8eUrjPoiC1R1uXEwTRenf4OWSdzadspin+8\nVbayeH25EI2YPIjd6/azb+NBhICeF3Rj8IS6K8eWhNoTUzR7DCYD1z50OeBJ+fPNqyt8rp+egaGS\nEJ7DT6xF4MBJF6zyeSRNXVbGhR/L0ZODnVFo1M2E3BLpf0U/tq/azY5f96BpkoR+Hblk2nAAHPkO\nnhn/indf12bJ45nxr9CjfwJ/Ld+Gq9BNcEQgQ6+ve5UFAJ1Ox13zbyU7PRchIDS6qX8fiuqglFgr\nJr5nLN3P68zO3/aiuSXhsWFcOrP6ec5aCkZ24Sd+RSc8XnMm9hEs3yCHh6ro2ZC4CRf3Y2IrQkj8\n5bdY5VzcdGhCmRofIQRTX5xErsWG26URGh3sfZE6cTDd62V4CkuKlUeWzaLXhd1J3pNK4qV96XlB\n/Xl5CiFadc08tSemaFHodDrueW8aqz5cS8ZxK4OuOY/29VQVujkhsHgV2Cl0Iq/+7FC1wMQWTGxD\nCI8QBpFCEO+SLZ9oOqGqgcNeyFt3L+LEwXSCQgO4/vGxdDqrds5AJQmOKOsyHxIVjN5QvEcFnt+s\n0Wxk2A0D6zynoiwNWYqloVBKrJWjN+gZdeuQphajQXHSF5dsj0F4ysFoMgS7HN7EUrkB30B3Ueq4\nOfLeg0vZ9P3f3uP5sxfx7+X3N0gtuPCYUAaOS2Ttp3+iaRKhE/S/8hyCwgPrfS6Fh6YKWK4LSom1\nEDRNw+3UVEXkWiAJwSrnEswbgIsCORIHI5pUpkLOxkkPTOwBwC2jsckJTSpTdUg7muFznJORi/Vk\ndoNlyJ8y7wZG3TyYLSt20DWxM2eetrk1mwfKnKhoEH58exUr3/8dt9NNfI9Y/vH27UqZ1RA37ciS\nzzS1GCUwY5UvECg/QEcu+YzFRbemFqpKQiKDfY4DQ/0JjQquoHX90Oms9vVislScnqgnYTPn5OEM\nvn3jZ6+HVmaKlaXPfMWNT41vYskUdUUSgI0ZTS1Gjbj9+euxWfPIPG4lIDiA8Q9cWm49sJbA8X2p\nLHxwKfk5BUR3iGDGq5PxD6p74u2WjHKxV1TK0d0pfPvqCoQOrr7vEmI6V+1SnZqU5lVgAEhIP5pZ\ncQdFrRDk48+3gIady5BUd3VRCK496HHipmxW9dONoPBAHvn8blxON21j2vgUOWxJSCn5350fcGy3\nJ9H28b2pLLhnMf94+/YmlqxpUY4digpJTTrJy7e+RUayJ6P2wS1HeOjTfxAZF15pv4692xHZLpzM\nokzcBpOezn1blxt2QyPIJ0LMxij2AeAvf8QiX0JScTVZAB3pRIpp6HKyiRRm7PIycrmrMURucgxG\nfYuOKczLyvdJMQUeK0drpyWuxFreLl4LI/O4hSM7k/nx7dVeBQaQdiSTXysoJ1GS8JhQJj97LZ37\ndqBD73YMue4Crrx7dI3lKMhz8Oq0d/nXmP8yd+JrpB9rmW/QDYE/X3kVGIBRHCKQxVX2ixR3oBdW\nBBo6YcdffIWeIw0pqqKeCAjxL1OzL1B5PbZI1EqsAfn46a9Y+9lGCvId+AWU3TcICA2o1jhnj+zN\n2SN7V9om/Wgmedn5xHWLKVNNF+Dtexb7uEa/Nm0hT3x/X4t+m64vBM5qnfOlEIFv7SqBEx1ZuCm/\n6rCi+aDT67jpmWtY/PgXFOQVEN42lKkv1KwE0emI8k5UeDl5OIPfP/mDXIunpldhfiEBof7kZ9tB\nQLdzOzP8xqorH1eHxU98wfovNuHIcxCT0Ib7F99BSCmPsdKu0dkZORTYHPjXQwXplk4+V+Inf8Yo\nPKsol2xHHtdX0UuPxB9PVnoPEtNpWSOspSKlZM1H6zm66ziJl/Sl1yDfkjC9BnVn0PhEkrYcoUOv\nOEIia1YM9nSkJZoTlRJrIGwWm09xQIDOZ7Zn+E2D0Ol19B3Rq14CRFOTTrL2sz/Jy8oH4OjO43z4\nr2Xc+cYtPu0CQ3xXfX6BfpgDW6ZXWUmMbCFIfABICuRI7FxR4zEkYVjlSwTKDwE3edxQjTyGevLk\ntQTxITrhQEojuXIGkqY3SZn4nUDxBSDJkxMppHUlsT3FW3cv4s9vt+IqdPHH11sYf/9ljLip+MXx\n/Yc/4bdP/8TlcPH3yp2cOJjOjFcnN6HETY9y7FB4ie8ZS9su0RzfewIAc4CZs0b04rzLzq7XeXIz\nbdhtvsqyoNQxwG3PX8dr0xeSnZ6Lf5CZSU+OQ6dreaaDkuhJJUw8h154KgcbSUKTYTgYXOOxNMLJ\nZVaN+uRzI4VyAOGBJ7HYOuGmopRdDoJ5DYNIwSXjipw/GiaLvoGdhIoX0AtL0fFRrPK5FhGDVp/Y\nbQXsXrffW7LFZsnj90/+8FFi+/48iMvhue5yuknacgQpZas2sauVmMKLOcDMve9PZ9G/llFod9Jn\naA8unjqs3udp36sdsV3acHyfR1n6BZnpW87+WZsOUTz5/T8psDkwB5pavAIDMLHeq8AAdCKXQD7E\nJbvW0d1dI4i3MIldaPiRK2dXqKBcJCD9+uO2ZZR7HSBU/Bs/fkcIMPEXOqxky6frIN8pJJR6c/Zn\nhVeBAehFBn7yF2ytTImVR/LeVPas30/PAZ7PonQVc71B16oVWEul5T/JmjFR8RHMfncqD3w0k0tn\njGyQ/yD+QX7Mfm8q/Ub3ofeQHoy//zJG3Vz+SkQIgX+w32mhwMCThUOTxSsaKcEk9hEh7sbIFsDj\nPh8m5hApbiFC3IGBvVWOG8QCAsVnmMQ2/MSfhIlHAEet5TRymFNfvRCeYwADfxPMy/jzJaXzKFaG\nnsNEiOlEiRuIEHegI8V7zU0sssTmvJT6VhG/Vhr/ID96De7uo6gc+YW8e//H5GV7TO8X3T6U0GjP\n3nFwRGC97VG3ZDQp6vTXFKiV2GlAmw5RzH53alOL0egUcj4FcgRm1qEjx5sRXi/SCOIDrLIfIeJ5\n/MQ6b59QniNTLqCyn75R7EYIl/dYz0kMpOCic5UyCXIxcBQ3bdGIAsomy5eY8OMngsUb6EUWUuox\nsYVs+WS17jtUPIdJnFLGqYTxLBb5GgD5jMfEZkxyJyAo5EzsXFatcU83pr4wiUN/HyVl30nvOUtq\nFicPpdPl7I4Mve4Cup/XmaTNR+h0Vnvie7Q+ZV8aZU5UKBoVQQ4PYpC7iBAPICgZvOpZ2eg54dND\nRxYGDiBw46IDoEdPMhpRaEQAEj3HffpoBOCm8qB0ACNbCRX/Rc9J3ISTJ2/CTRt0ZAOelaLEj1x5\nK4HiU/Qiy3MXwo1JbkdHJhpVJdKV6Eq59vseG8iSc9GTDAjctKO0ybEyDOzGjzW46EgBY2rUt7kh\nhKBL344+SiwkKpio+AjvcWxCW2IT2pbXvVWilJhC0QS46OnJCC83I4REk8EUFJVa0cpRPuHikaJ4\nrghAoCMbjRDy5A1oRHuVDngUj0t2QRJWpRzB4i0MwqMADaQTyFLchKMXnrRhQnjicFyUl4m97P5W\n+Yiie0r1nimrYAVuap4w18wqQsQr6IUVKY2Y2Ui2/FeNx2lO3PT0Nd7Vl9Fs4PK7LioTfqIoRnkn\n1oGtW7eycOFCNE1j5MiRjB071uf66tWr+fDDD4mI8LxFjRkzhpEjRzaFqIpmhw6rfI4g3kVPGgVy\nCA6GARKXjEHDD3CjEQq4MQhPthID6SVGSCeQT7DLS9CJ4v0vITwu+KdsggEswU+sAcAur8DO5SXG\nKHaoODWm7+oQdBQAdvLlVRg45lUYhZxdtBI8hcTMaowcoIABuOjjvZIlHyOMZ9GRjZsIsuWjtf3g\nfAgQX6AX1qL7dmKSW6u5Oqx/ls9fxaYft6HTCa66+2J6D+5Rq3H8As08+PGduApd6MtJlZWXlc+i\nxz8nz5pHz4FduWT6COXc0cJoFkpM0zTeeecdHn30USIjI3n44YdJTEwkPj7ep93AgQO5/fbWnaBT\nUREmT0b4EhtQ/nxFgPjOW9VZyrKFKEsicODgLAJkJPoiRafJYOzSUzTUzK8EiSXohEcx6TmJU3YG\nhhaNUFhqPDca/lBiZQcCgcBNR3LlLRjkEdx0xc4lPn2DmYe/WIFOOPCX35Erp1HApR6ZiMUiX63R\np1M7mqb09dplG/nq5eXk53i+twVHl/DI53f7mAFryqmYTM2t8cGjn3F4+zGMZiP52fkk7/Gsavds\nOEBhfiFj772ksqFOa5Q5sZYcOHCAmJgY2rb12KYHDhzIxo0byyix5kahvZBcax5hbULQG/RNIoPL\n6VauwV7cBPE2RrEftwxHJwq8CgxAL6y4ZBx496g8n9kphxA3sbjoS46cTQCfIJDY5UgKuRAAM+u9\nCswzXhZm+QenlJibDhhKrMY0AnHRCUOJfTk3MQSyED+xAUEBLjpjkZPxNSUWYBZ/eleEepFFAN9Q\nIC+trw+qDIJcdOQipQ4hNKTU46RPqdVh47B1xQ6vAgOwpGSx49e9DLthQJ3H/viZr1nz0Xo0l+dl\nRuiKP3dHfiE71+5TSqyF0SyUmMViITKy2GQRGRnJ/v37y7T7448/2L17N7Gxsdx8881ERUWVabNy\n5UpWrlwJwNy5c8ttUx+sXrqORU9+Rn5uPhEx4Tz88d20S4gBwGAwNNi8pyjId/DMxJdI3puC0Wxg\n/L2Xc/Gtwxt0zqpojPuuDGF7Cl3h5whcIEATMUipR+AGPBWeCf43WuFXoGUg9WcAboR7D4hwdIGP\nEqULBa4u+oPAoj8AUXA2Mv9nRNGKSxJAQMh56IvuWzimIvOfRMg0JEaE6XwMgU+h2e5FuJNB5w+m\n8fjbX0ZgBzwB2tHmBWhBc4tvROajzxI+CyGjwUBUaNWfrbC/ia7wN6TQo/nPBOMF1frsdDmPoHMd\nKjFQGIaw14jSVfxy1lDfd3y3dmwUW5FF9+8f7EfPc7oRFRWF2+XmxanzSdp6GIPJwMSHruLCq6uf\nkSR170mvAgNPaqqSBAQGVHlPTf07b0iUEmtAzj33XAYNGoTRaGTFihW8/vrrPP7442XajRo1ilGj\nRnmPMzIqDkKtLS6nmw8eX8rJw56xs9NzeXHamzy01FOGIyoqqkHmLcm7D3zM5hXbvMeLnvqMhPM7\nENa28vIhDUlj3HdlRIiN6Eu4xkutkEL6YyAJ0GGXo8nLSQDuLX8AhxOoTP7RhIpNGPkbgaBADiQ3\n50yiTK6i++6NgafxYxUu2lPgGAOOQmAuIMEtMDnXES7sPguvQoeVrALfeUNFH/ywIIQTTQaT6xyK\nvYrP1p9vCBbvIIQdAcicR8iUr1YjhRa0EVt9F4Mym0zLcSQVJ6luqO/70rtGsHfTfo7tTkFn0JF4\nydnE9PTM9cmzX7Pm0+KV1Fv//JCY7lHe3/3R3SksemwZzoJCOvaJ56anr/GxkpiDfVOt+Qf6oTPo\nsOfYadMpivEPX1blPTX177wkcXEVZYlpPTQLJRYREeFTXC8zM9PrwHGK4OBij6KRI0eyaNGiRpOv\nNPZcO4583/0PR17tg2Frw6n6YqfITs8h/ZilSZVY0+LCUMJjz0MBWfIpPPtg+qK/uiDIlqcCn3VA\n2WoBLrpjo3uZ86c0hJMzcdERY1HJFk2GYJejyrTOlo9QSG+MMokCBlHIwCqlM4mN6ITde6wXJzHJ\nrRRQndI9pfcK3ciqArBlIdX3qqw+RrOB+5fMJOtkDkazgaASJVKS96T6rKQyU6wk7ztBWNtQHPZC\n/jfzPVL2e1zqD+9IxuhnZNIT47ztb3luAtaULNKTLZj8jFw6YwS9B/fAeiKb9r3iCKxmZYnTFbUS\nqyUJCQmkpqaSlpZGREQE69atY9Ys3zx2VquV8HCPK/GmTZuadL8sKDyQsLahZKUVxecIiO3auLEm\n8T1j2fX7XjS3xxwSERdObILnjdvpcGFJzSKsTTDmgIbJ0dfc0JNGaSXlcYtviJ948Weqw4IoWEMQ\ne3ByBg4GI7ARIl5ARzZO2Q0b0wAXYeJJDBxGIiiUPdCIwC5H4qA8M7AOO+Owl3OlIjTZ1qNSxKnj\nwKJYuKpx0QGTTzYTSbj4F1Y5j9JKSpBLmHgMffZJooSRXHlrBfdQe4QQhMeUfSFr0ynKI06RFTC8\nbaj3d592OANLapa3rebSOLbLN+YvKDyQR7+ajc2ah1+gH0az5/fRtnN0vcrfUpFKidUOvV7Pbbfd\nxjPPPIOmaQwfPpz27duzdOlSEhISSExM5IcffmDTpk3o9XqCgoKYOXNmk8krhODud6ew8IGPyUi2\nYLPmkZqUxpcvLmfsPWMaRYYJD1+BzZLneds0GRj/4GUEhQdyaNsx5s/6kJyMXALDArju0as4d8xZ\njSJT1WiE8F+MYhdgIE9O9K4SDCRhYC9OeteqHpdGKBrB6MjznnPVIlaqJB5nBytuYoCyGf8N7CBc\nPIE+P4MgnScGzMFg9GRgEjsBMPE3QnqcFMys8yoYl2xDlny2Xt3Xc5mCgYMY5CEkegrkyApi0sqS\nLe8nkru8jjBCgEEmoeMkGjE+bUPEC5jFVtDAICCYtyiU5yFp+FIm1z16lWf1tTsFg8nAJdNHeKuj\nh7UNITA0gAJbsVUkqJxCl0IIgiNU2ZXyaIlxYkKW3tk8zUhJSam6US2xpGbx9NUvk5ns8UgzB5iZ\n+MiVTLxvbJPZzJ+68gWSNhdXF47t2pbnVj3cKN6LVe0VBPIeQWKRN6WTW0Zika9hZi2B4kP0Ihu3\nDMcmb/eJv6ou/nxJoPgIHXbctMEqn0GjeIUsyEVPOm5iKt3r8R0rDzfRZMmni7JfFBMuZnse5iXQ\nZAASI3pR7FZfKHsiCcYsNnrPSanHIl/CyZk1vs/KkQiyAVOV91ia0vfjluFkygVlFG24uBuzKC6w\nqslAMuXruOlUF8FrREXZ5lctXst3r/9MYYGTqPhw7n1/ermKrC6czntiF658oE79fx/1n3qSpPo0\ni5VYS2Xfnwe9CgzAke9g5+974b6mk8mR71uRuNBeiNvprpfaZXXFKA745iQUmRjkXvzF196Hvl5Y\nCeBz7NKjxHRYCRH/RUcOLtmBHGZT3qoIwM5YCuRFRUHAbSj58zazhmDxJjqy0IgkW96Lk3PKHUeQ\nT6D4GIM4WSSDjRBexCqfL9XOVU5vF5RSHhIzTtkRE5tKuPNH46YhTOKiWtlFyiNP3oieFAwiDU2a\nccgLyl0pumR7TGzz3otGhM/LQmNQ0UvZ8EmDGHxtfwryHASGBajQk1ZA0z/ZWjAxCdH4h/hjzyne\nuYiIqzrHXkMS17UNyXuKV59R8RHNQoEBuGRHJOsRwuPy7pbhuEjwusAXU3wcJh7BJHYBYGQHgsJK\nM1RIAnGXU5gySCzEIDyOHzqSCeFNMuVb5Y4hyPW6wBefK7s75ZCJGNiLTnheHKT0OHbY5QgC+Rgd\nOWhEkyvvwkVn9FgxyCTAs49UXkqspqSQRKxyHma5HhftKaR89/xcZqHDjp/uGE63gRx5V1GV6+aB\nwWQgqJn85lsaak+sldGpT3tG3DSQ9V/8hdvlpl33WCY8XPPKwvXJ1BcnYfI3kXY4g5DoYG79v4kN\nPKMDPZm4K9jbMbIVP1bjoiM2bkZPKka5F4mBfDkON+1x0gu9PIkQLjRpolB69vAE+UUOGx48+zRH\nyp2ncjQEpQuFVuxNqhGFm7bovUHRBpyyrMdhHjejyRCCDWvQXBkUyP7YmA6Yccjh6MjATTuvWS9b\nPlYL2RsXN+3Jr3Iv0US2fAxjWBSWZmJWK4k9t4DMFCuR7cLxD/Irc11za2SdzCEwPACzf8uvbl6f\nKO/EVsiEh6/kin+MxlngJDgyqFHNF5pbY8eaPRTkOzhz2Bn4B/lh8jcx9cVJdRzZjR8r0JOJnRFo\nFdSjMvI3oeL5IvNdCDj/BSXcy/1YTrB4s0S5ka1F5UZOuWW70JFJtrwfF+0xcACn7Ek+1wOejO8S\n34dQeW/8/iwjQHwHSBwyERsz8fWo0+Em3ps5w7Ni6lTJ/evJks8RwgsIbEUehneU005gZxyBodPK\n7JFohBettCT+fIlJbMUl48njFtR/u4Zjy8odLH78c3IzbYREBXPLcxN88i5mplh56da3sZ7Ixi/Q\nzFV3X8zgidUPlj7dUSuxVsTudfvYs/4A3c5PoM/gHuW+8TUkmltj3k3z2bVuH5pLI/6MOB5aemc9\neF1phIk5mNmEEG785TdY5TO4SSjTMkS8jkEcAzzlQGT+80CxiS5AfFdOuRELGhEY+ZMw8RQ6CtDw\nxyr/jzw5udQMOnLl7QTzNgJb0V7W7KIrmQSLl9GThoFDxSmaSMUtO5ZxDMmSTxEsX0Qv0nHJduQy\ni8rQiCRLPlOTD65cglhAgFiGThQg0WEkCU0GoxdpuGUcOdxNSZf95oHExCZ0nKSQC7x10VoCn839\nlvQjnpjTApuDpc98xVPLi50VFj64lKM7PW73uZk2vnr5R86/4uxWE4pSFWol1kr45rUV/PC/X8jL\nzicgxJ/RU4ZydSPnW9v84zZ2rd2H5vYEfibvTuHTud9y23+uq9O4BvZhYqt338ogThDMO2TJZ8u0\nLWOik3ZKBr/Kct11PefCxRPohKfCrp5cwnmQdPlNmdYOhlMoLygqnRKFJ8C4kDDxECZRNjWZThRg\nYqvXMcQrGgHk8EilOW0N7CBEzAecFMo+RSu6ulXBNouNJdzWNUxyEzpd0R4aWxHkkC2frtMcACb+\nwMRWCulb4V5WdfG8xPyBEBouGU2WfAZXuQHczY9Ce2nHJt9je67v3maBzYHNmqeUWAtGKbFasP7z\nTd4S5/k5djZ8tblOSiztcAZv37eE/Gw7EXFhzHj1piozB+Tl2L0K7BT1kTVE4CrH0aL8J7+Ldhg4\nWtxKF09JM17JciOaNBWVG/GY2EorQF0lYb0Sf9wlzIgGkjGQXG5bz55a9WKjSiLIJkw8560HZiQJ\nKYOKzH+ncKAno0iZVu+hJ0spwZKfrRBglEdLd6kxgbxHoPgUnchDk19ilyPIZTZ6UgkV/ylaxbYh\nSz6GpPJaWib+wswGr+ehQaQTylzscjQOzsdNlzrL25DEdIkm7Uixabd0EoL4HnEkbT6C1Dz3Fx4T\n0oqz3JSlJQZcKSVWC8qE1tXxm3/tjoUc2e55KCfvSWH+rEXc+/60Svuce/FZ/PDmKlIPeNzAw2JC\nGHXr4DrJAeCkJ056YmIH4Inlypfjy22bLR9DMq+oknEUxqDnwFKsSB2MxCpj8JNrcNGJAm+5EeFJ\nkFvCuUJW4DZfHhohRc4SxYpPk35oRFIoz8ZO+fJWhoHD6EukrRLCiZHdXv1tZAuhYl7R/l8oufJe\nCitw0S9JnrwOPa+hFxloMgiJAT3FWSVkPZgS/cQv6IQnyFsn7ATwHUYOInBgFAeLWh0mlGfIknMr\nHgjPPuYpBXYKAwcJ0b2JW35KjpyJg+Zbx++u+bfy/sOfknncSnTHSCY/fY332taVO7CkWomIC8M/\n2J+wNsHcMndik1WgaI60xGBnpcRqQd+Rvck8noUj34HJ30ifITV/8z+Fw15IboZv4URLqrWC1sUE\nhQfywEcz+XTuNzgdLkbfNoRuifXxlmzAIp8nSH6ADiv5XI6L3uW2lAT4eNxF6YIp7fXnoje2cvrn\nypkE8zqCQiRm715XddCIwi4vxZ9vEeThJq4osDmOmuTxE9gJ5jV0IgOXjEMjFD3Fn70mi/N3hog3\nMAjPi4aOXIJ5g0y5oIKRiwOOHQzDIrtilH/jogs6LITwOjqsaESQK2dUW95q35cAE7vRpK8TjL5E\nEdCKKB3QfWo88MT1BbIMh2y+SswcYGbayzeWOb97/X7euf9jctI9VbajO+qYMm9GuamtWjPKsaOV\ncG1/3h4AACAASURBVN2jVxHfI5bd6/fT/bwuDLmu9nsQJj8j5gDfVUh1k5BGxIYx/eWbaj13xfgV\n5ftrOOxchUNeiJ7jaIQXBSdXHxu3ky8vK9or61irOKUw8Shm8RcAEgNO2Q2Juagasx8OEr1tqxM3\n5sFJmHjEY45ET4Ecjo07fAKbM2Vf9KThpi2ynJi2muKQA9GT6o1XKyllSTyVrSsnj4kEyiXoRGEF\nLapICtxMWbNkvVeBAaQfyWTT939z0W1DmlAqRX2glFgtufDa87nw2vPrPM7H//6K3EwbQifQ63W0\n6xnLlBdvqAcJmz8aIYSI/2LkAKDHLi/CxpQa9I8pk9evugjs6Evs5wnhQuCiQA4jQHyNTmQQwjzs\n8hA2puAi3mcfrrwVC0AQ72Bmo9ck5ylmORQXvbxtJEG46jHPoI0ZuGQMobzmzYiiSRO5cjIBrCjh\n2flQpeOY2EiweBUQSFm8Ajv1b7cMpEDW3WTdFARF+L4s6I16wmJCmkia5ovyTlTUiOQ9Kfz68Qby\nizJ+uDQ3HXq1Izq+/pLCVgczPxfFWUGevJ5CzmuUeT0P/D9KPPC/pEAOxkWPKnrWHc8eXOlSKi78\nxO/FXpMiHzO/YZNTyJb/Ktr/S8NNNDnyn+WOqxepPntKOpGPQR72UWINgcBQqiiKRCOWTPkOngwo\nVe37uAkRr2IQxYpdk0E46YSUesCAXV6Cg7JlY1oC1zxwOQc3H+Hw9mQMRj29B3fn3DFnsWf9fn7/\nbCOR7cKJiAnlr+XbMZgMXP/4WKLbN+7/w+aAcuxQ1IiM41leBXYKmzWvgtYNg5EthIhXvfFceo5i\nlf/FTecGn7vsA9+GQR5qFCUGevLl/7N33uFRVekf/5x7p2YyqXRpEkARFUFQRF2lrF3X3llWVl17\nL9jWvjbW9efaVkXsir1XLKhgQZqogPQaCGmTZCZT7/v74w6TTDIJk2TSYD7Pg4935p5zz2Tu3Pec\n877v9z0JFy+jUQoodNahGvCp1fX/NURQ9sPOT7G6XmHpSojhqRx4QqwsRaulS6mpEFZZSoBDSKaO\nmsKLIv7eM3BgZR2aVoEh7qQCWToqDpedG9+8jNW/rMNqt9Jvz978/NEinr/5jdg2o6ZrsYjfwpVb\nuOXdK8nI6jhyWm1B2ieWpkkMHNGP7v27xCpEO1x29jpkSJuOwcnnMQMGYFHFuOQ5dFWKQvDJkfg5\nggxew6pW4ZcDGq4dFVpIvro9GmzRjXK5HUngh1H4yORpdAoxxBrz5ZgP/GGYG41TsarfqFuyJZX4\nOAm/jCZPXYZFlcTMl4iGUgYRySCwne0zG7PRKr8iC41KLqKao9GkFDvfI2h4ZSKRBhRPUkmA0Tjk\nazRlBglFJIsAyStRCG4MctCpKU6r4YutSjVViZNP8UlL1WDaD4vNEhf89NWLc+L8ZLVTVjat2MLy\nn1czbFzrrqA7GmkjlqZJZOa6uPiJc5jxr/eIhCLsPXYPxk86qE3HEKEXIiq2IhLRcaifYw9DnXU4\n+RQbv6FUGBuz8comfNR9mEXQvf9ERUO6LWwim3spl3vqnBcmV12HTZkh/IbYCUlPhDyq5Cwi9MTF\nczjVZzH/jpsnCclerWIMhKx6q68wPQgaowmyDwEadvzb+Y4sNRUtVE6GBlZZSak8gpeJeKU1Am4a\nJsBBVMkZOPkaQVEthxNinyb0oCiX28hiKhpewvTAzvw6Z3TOoI6GaEwhzpFhJ7tr4zl1aToGaSPW\nzvTbszfXvdx+BT69nI6VRdhkKYKGQTbWWn4RXXlAlsUMiq68OPim3oxcUQlSEfeaRv1UAQtrsLCy\n5hwVICS7xJU5sarldUq2FGORP1rJiGUSoSc65mpYxEJQRm1XlgrAqT6OX8WyCiu/topPUaMIRXU0\noCTxz9bHWS1aKUXoQ5n8HwB2vsGu5sTeEzHrhinKyVKPoPChAkcDBzb7eu3NMZcexsblWygrLEez\naNidNoLVIWwZNkYdOYz+e7WsqGpnJB3YkaYTYqFc7kdnI6BjZTFZPFCrvIgFVe82qX+jC25QOSA1\nagmJalGZyb3x/WlswcUL+DgOIbvBki2tg6JM7sEtD6GrckIykCrOS6pl3QRtwbad6sZGND8sk6bo\nJbr5Dw71DYogYfpRJg8kCM03cPIhOuvxMy7pis4NYWE9mqpZeSllRmTmcg02tQIA8f6Kgwvwc1SL\nrtVeDDlgINe/ehE/vb+Arn27MOKIPdmwZDNOt4NdBjcv6rWzkw7sSNNJUbE8pgg9sPMTNpkPCCGG\nEpFuOPkYTVUTkVx8ckKCPnQimXdheG5Fw0eE7glDuiP0JsB+2OVbNBVExIJVrceqpuGQLyiVh6ji\nHHQ21SnZ0hoFJE2ETCq4uVFdxURUyoXm6kutxRAbAUYTasB4aBSRq25EowTBSZVMws/h272GhaU4\n1ecx35SN33HL41RQOzoyTLa6AwdzUCqMU76gQq4gQMP+PI1S3Or/0PASlOF4OZPakxM/B+GUt7Eo\nc1ISkWyCMoQs9U3sHEUFDjULv3ROIwbQs6A7f7niiNjxwH37t99gOgBpn1iaHQCFR26ObgUaGOQB\nioDsj1WWE2C/hsVgLXtSKv9Lqn8bP+GUD3FqNQ9Fq1pDprxIJZfgkVuhTtB4R8OgG6XyCF3cKymv\nUITYm4bGm62mYo2uYKCMTJ7DL4cAjVc/0NkSM2Db0FQ5iJnrlqP+ic4adEpQ0ZWTrkrI4M1GglJC\n5KjrYwLKVhaDhPEyKXZGhH5UyPW4eBmQqI9tD4Tnosng26ibppCmM5M2Yml2GOpWHQ6yP8EmRLs1\njiLI/lhZDnxT571I3HmpxsEn2NWPhKUvXibS0p+A4EZsEwjReHHIuuHrCl+08nPjRizIMMKyS0yY\n2Ew4Nv1Qbh7GruY2ecw6m7BQU/1bUwFsLMArk+LOCzKKoMT796rlEJx8ZSqW6LtSEW4/f26aNJA2\nYmkSoLEFt3oaiOCVMwgzqFWu4+M4HDITq1oDEC0aeUaz+tJZgYt3iZAX3Rqr73Ny8RwuNQNN+RB0\nrKykPAVlUJIhLP2x8nssCtQgP7rKbRwhhzK5Azf/iyqKHBQTUtZVUfy5MWWNXHzyl0b6dEeLjdYY\nVguryVFTqJTzEtaO20Yl11Itx6NRRlbWwRilLa+ckKbj0AldYmkjlipKC8uZ9fIcnG4np1zZ8AOk\no6NRRp66OiZ2a+NXSuWeRh9szUXIolQeIkvux6qWEyEHC6sJko2GJxoYsv1EXQu/kqtuR1dbEQE7\n8yiV/1B3q8uuvo9tzSkVwSLLUPiiivitSwVXgAgWVkcTp68m2Z9fhALK5f56r4elLzbm1zKMWfiN\ng6nmSMLs2WB/BnkEZQgOZqOUIGJGoer8gIV1lMp/EwblxK67bVKTQPA5TecmvZ24k1K0tpgHznqc\nomjS8oJPf+Oaly/AarcgIkTCBhZr5yj34ODTmAEDc7bvkjep4LpGWjUfnU3Y1FJ0VYqFrVi4E8GJ\nIhStrnxHgzqFGkU4+QCH+hZdmQrtZo2uJVj5NYFSRt3aXhqShJFMDVbzb5jCqW4lF6NRgUVWIdio\nkvMJsu92Whk4+AKrWhYzfrXzpSxqEzb5qVbZnDQ7FZ1wKZY2YingrX9/HDNgAMt+Ws78zxajNMVb\nD3xE0B+ka598Lnv670kr1LcXBplxyc9AsxTik8VUDCmNHeuqCtiWaF1OFv+mTB6s105nPbnqeixq\nU4KwYEWiFZxXTonW9irBEBfVMpamhLp3PCxJSWHVIOSof2Kvlb5QF0NsROie8L00aVrKwoULmT59\nOoZhMH78eI4//vh658yZM4fXX38dpRT9+vXj8ssvb7TPtBFLAWLEKxmIwKxXvmfL6q0Urzcf0CUb\nynh2ymtc/Pjf2mGEyePncDL4DKssRimJ5k39rdWuZyqGaLHIutrq6WAGQCQiU03HoszgBKVq2oko\nguxNKEENswBjKZVdscl8whREJa52HiyswcaCegbMnARoCK5omkDraz1uDyu/YGEVQYYToV97D2en\noTW3Ew3DYNq0adx8883k5+dzww03MHLkSHr3rkmfKSws5J133uHOO+8kMzMTj8ez3X7TRiwFHHvp\nYaz4eQ3FG2pWFL99uwxNj9++8hRV1G3aAbFSKg9iYw6aBAkwplV9Rj5OwMbP2OS36CsSi+QTUYSl\noQdYfQkknzGWEMOo5hga8qVF6E81/Vs87s5JhLp/N7Ny9wkE2A/BSYT2V6nI5H/RcjheIpJPhVzS\nsF5nmpTSmsnOK1asoEePHnTvbq70x4wZw9y5c+OM2BdffMHhhx9OZqYpGpCdvf0aeGkjlgJ679aT\na1+5kDv/8hBVpdGIL6kTIK6g+65d22N4zcBCsBHNwFRfq1zuRWc9oBDsNfp90pcKrkzYqkomYmUJ\nFrUFgBC7U8EUOvf2YOsSZldC7IZNFsaiGD1yJUHaVq+zcUI41JdoyvwdmdWkXyMgaSPWFqRiJTZl\nSo3IwYQJE5gwwSzfU1paSn5+TcBQfn4+y5cvj2u7aZO5u3LLLbdgGAannHIK++zTuAZo2oiliB67\ndqNrn7waIwZkdXWT2z2bYCBMr4HdmXjXyQCICB899gW/frMMq8PC2XecRLd+Xdpr6B0ARYS+saNE\nkXh1iVBAmdxHhryDQSa+BsLq09RGp0zuw8UL6FKMjyMJN7ClamEpbvUECj8a5QgODLLxyI0Yregz\nU4Spv8pO7L9L0wqkwIjde++9zW5rGAaFhYXceuutlJaWcuuttzJ16lRcroYroKeNWAo57rLDeeGW\nNyjdVE5WfiZHnDeWI86vmUFuXlXE1y9/T+GKzSyZs4KAzywBX7y+lH++fxUOV/ohDKZyvqkUYaGK\ncxoM947Qn0quaNvBdXrseLdTPVtRQY66M5ZgXZsc7qBUHm2twSE4CbM7upSiVARDnARkTKtdryWI\nCL6KapyZjnqugzT1ycvLo6SkptRPSUkJeXl59c4ZNGgQFouFbt260bNnTwoLCxk4cGCD/aaNWAoZ\ncfhe9N+rDyVry3F3z6DHgG6x99b8sp6Hz5tGycb6yu5bVm9lw9LCnV63DbZFHV6HRW0GwCqLKZX/\nQ8hp55HtPFhZgV5L0aM2ZgHR1pUDK5dbcfECFtYRlJFUc3SrXau5lBaW8/C5T1O22YMj08GpNxzL\nvkfsDZh1yV654x1W/7IOe4adSf86pdPstLSmT6ygoIDCwkKKiorIy8tjzpw5XHZZfLWI/fbbj+++\n+46xY8dSUVFBYWFhzIfWEGkj1gilm8r4+H9foVs0jrnkz2TmNrykXTxrKYu/XkLB8H4cPfkwiovj\nZYjee/izhAYMwJnlJKtLY+rnOw8uXo0ZMACrWotTPsXHae04qp2LCN0wyEKnfmSYgZvW17O04OWc\nDp2zNO2aV1i9aL15sKWCGXe/x7DxQ7FYdV69+z2+eO5bImFzW/Thc6dx6wdXY7V3gsdtK/7NdV1n\n8uTJ3H333RiGwdixY+nTpw8zZsygoKCAkSNHMmzYMBYtWsSVV16JpmmcffbZuN2N13XrBH/V9qF0\nUxn3nvYoW1abSbSLZy3lxjcuw5VTP1Lvo8e/4INHZuL1+LBn2Fi3uJBTboqfPUqCu8PmsOJ0Ozjo\nlP06zUytNTB1BMuJ0K1+eRMhKpGUpq2I0BufnICTj1BURxPPsxCy8EjrJL13ZFbMW8Oct+fSvV9X\n/jzZDHjyeeJTPzxFHu495b/YMmxUlXljBgygZGMZxRtK6FnQ8fPvWluxY8SIEYwYMSLutdNOq5mg\nKqWYNGkSkyZNqtu0QdJGrAE+eHRmzIABbFhayNevfM/RF46vd+7378zDG72pA74gP3+8gJOmHBm3\nT37sJYex5pf1lG4yiygOGjWAs+84kax8N3m9dt6tMgcfk6meR6MKCGGQiSG2aJkWCDGUao7Ybj9p\nUouXv+GTk1H4MOiCGWyx8z0u5n38C8/d+BqerZVoFo3fvlvG3R/cSPddu7FqYU3x2EB1iOU/rwbA\n5oyXO3O6HbjzOslOSwde/TbEzndXJkkiR62mJzdLSXQfDNinL9e8eAGzXvmBrC6ZHPb3Q7E5dvYy\nFgEy1QtYVGHsFQ0/AGHpQpWcg58JpKMO2wchs1aRzwSBC0YlWdyDpsoJyt7RCNHOp73XGJ8/+w2e\nrZUAGGGDFfPWsHlVEZPvPw0Rg8KVRZRsKKOqrCYqOVgdomvffKor/dgzbBx5wbhGXRFpWkbaiNXB\nMAy+fH42Po+P3F45lEVXTv327M2hZyaOkhp93AiK15fiq6jGnmFj38OGJTSCuwzuyZm31i8oGQ5F\n8BR5cOe7O61h0yiC0HoUOWaV56TaVJklPRKi8DOetAHrqBholReRoS0AwMYCNPElrIpt50vsLCDA\ncAKMa+uBtoi6Jlkp8z82p40LHzG3vKZd8wrfvPpD7BxnlpOL/3cOmTkZZOa4cLo7z3Z4WgB4B+CJ\ni5/n509+IRKK4MrJYJ8JQxk0agDjJx2EMzPxzXj0xRPYZfee/PLV7xQM789x5x8RF0raGOt+28Dj\nl75AZXEVGdkOzrjlBIYf1rACeUfDyVtkqPfQKURVRshX3SmXGxpVUd+GQS4RuqJTP+BFyGJ7BSPT\ntB8aJSijZjtNU0FsLKq3DZHJE2Sod9FUNQ6ZiU/+oIoL2ni0zefw8w5l04otlG+pQLfqDN6vgB67\ndo37fZ956wls/GMzhSu3YLVZGH38vuy6V/srnzSL9HZi58br8bHsp1VEQmZypbfcR1WZl2MunrDd\ntvuMH8o+4029PqWSn808d+PrbPrDjMarLK3itXveY58/D21SH+2FixdxqRfRlD/2mkVtJIsnKJVH\nkuhBo1zuJot/o1GOxlZAQ6Magyws/NFwFek07YqQAcoa99CTBFWeHepTNGWutjVVjYM5VEnnMWL7\nTNiTK6dn88N78+nevwuHnHlAvd+m0+3gprcuY+u6EhwuOzndty+V1HHp+M+duqSNWC2UUm3+HW5L\neN6G3xskHIx0inBcu/opzoDVEEq6D4OulIuZ4a+zjlx1LZqqws4CdG6hTB6IU/NI0zEQXBj2k8H3\nIhoeIuxCpVwYd46dmeiU12kXbsthpoT+e/eh/96Nr6x0ix6XF5qm7UinmdciI8vJngfvhjXql8rq\nksm4v7aurlz3XeND6/N3yekUBgwiSILbR8RCSIY0q0cnH8S0EAEsagtOPmj2CNO0LuK8gFJ5lFJ5\nkBJ5vN6q2am+iivpAxBpUNC5fQgFwnz/9jy+mfED1VWJJmTJ4y33sWbxerzliSsvdAqkhf/agc7w\ntGxTzn3wTIYevBsblm1i+J/3YtDIXVv1euf/30RsjhkUrS3GnZfJ5KlntOr1UkEGL5GhPgT8GGJH\nEUCwoLTueI2xVDG5Wf0a5MSVYhFRGGmljg5NhF0SFi3VKMHKL3GvGWLDm3TSukS3l42oVmPqt0iC\n/hD3n/4oy+etBoHPnp7FlNcuqRdJOPO5b/n92z/I6ZHN6Tcdl7CveZ/8wit3vINnayXZXd1MvOsk\nho2rXw6ow5P2iXV+lFKMOXFkm13P7rTxj4cnttn1WoqFVbjUDHRllpURAb8cjJfJ5OSOoqqOUklT\n8HESDn7AGi3LEmIoPk5OybjTtC2ZPI2uKmPHIhCSvQnRuCK5iUG2ugMbCwEhxBDK5S5S/bj67vUf\nYwYMYP2STbzz0CecfftJsXPefegTPnzsSwK+AACb/tjMA1/cWq+vt6Z+xNZ1ZrDH1nUlvHHfhwwb\nN5TyLR5evuMdQv4QB540ipFHdfAadunoxDQ7OhZWxQwYmKsmBYQluRWrRilO3gVs+DihTq0yO6Xy\nYGwGH2Jv0rdoalBUkME7mPooxyedBtHs66lAnWOolu0HSAE4+AwHs1HK9K1qMpcM3sDH6Skdo98b\nqLfyCNbxUf/y9ZKYAQPYuHwzZZvLqRvDEgrE+4GD/hDVVX7uP/MxNi4zA7eWz10F0KENWWtqJ7YW\n6SdEmjqEsfMtCi8B/hQNda8hxFDC0hWLMtVMDLERlOS2TTSKyVNXYVFmaLZDZlEqD9UxZBZCjEjc\nQZpmofCQp67AqkxFCYd8FRVV3r4hs/EjLvUSCgO//AkfpyZ1Ta+cgo3F6NH7JCS7EkiybpnOhpgB\nA1AqgkU2JNW2KRx0yv7MeuUHNq8sAiB/l1xGHjWMu0962MwT7ZlTb2VisejYM+xUh+L9Xj0H9mDL\n6ppdiF6DurPsx5Vs/KNGB7Sy1MvsN+d2aCPWGUkbsU6IiPDmAx/x+3fL0HSdE646gqEH75aCnsPk\nqmuxsQilDELyOmXyYFwplAg9qZRLcPEyCiOq1JCcn8PF8zEDBmBVf+CQz6jm+BSMPU1DuJgRM2AA\nVrWKDHkTL39rtJ3OBrLU1NiExcIaIpJPgPrSa3UJM4QyuRMXbyBip4pza6l/NI6fsWTIx+jK3J6L\nSA7VSVyzqWTlZ3L9Kxfx5tSPiIQNjrloPE9e+RJrF5sGc8PSQgpG9KNL7zyKN5TizHJywIn74srO\noLo43ohd/NgkXrjlTYrXl9CtfxfOuv0k1v2+AZvDRrC6ZnXX4cUM0iuxNG3B59O/4bOnv46F50+7\n5hVufucK8nq2LAjCzuyYAQNTQT5TnopWTK4hwCEE5JAm96/qFTuE+gUQ06Se5v3dbcyNGTAATVXh\nYDYBSc6ghNkdj9yc7CBjRCjAI1fj4nVA8MkxhBje5H6SIa9XLuc9eBYAweoglSVVce8Hq0Pc/M4V\nrJi3im79u9JvaO+E/dicNv5eJyirYHh/hv95KAs+/5WgP8Qug3tyRgLFng5F2ieWpiWUbfaw9tf1\n9BjQrdGckyWzl8fll5VsLGPl/DXkHZ2M07xhFP6YAYu9poIpm51VcTY2WRArthiSAvwclprO0zSI\nj1NxyJzYKjgk/fBx4nbbhemLIc5YsrKIIiI9k76uwkeWuhcLhRi48Mh1GPRKqm2QMQTbuBim1WHF\n6XZCrdw2V04GuT2yGXV0042oUooLH53EqgVr8XqqGTRq1wZVfzoKKr0SS9NcFn35O8/d8BolG8tw\n52dy1AXjOCqBYj6Ye/e1ych2piTRMsCBhGTX2NZTRLrilVOa1Ied73CqjxHsVMpFUQV0E4MelMp/\ncMlrCDa8nJH0FlOa5mOQF/27v4qg8HFGUkVGQ+xLtRyGg9lAhBADqdrOFmRtstS9ONU3seMcbqVU\nniRV4fKerRU8cenzVBRX4c7P5B8PTyS3BWoZSin+dt+pPDfldaorq8nq6ubc/5zZojEqpSgY0b9F\nfbQpaSOWpimEg+GY0XrnP5/EimZWllTx5YuzOeL8sQmFhE+98Tg2Ld/Mxj82o1t0DjxpFH2GJDfD\nbQwhk1L5D255CqUCeOVkwuyedHsV+JIsNRVdmTNZC6solUfiDJVBNyq5pMVjTdM0DPKp5OIG39dZ\ng1s9hiJEQA6IBXBUciVVci6KIAZ5NMUAWSiMO9YpQ+FDSI2i+6MXPsuyH1bGjh+76FluevPyFvU5\neOQA7p55PeFQBItVb+kQ07QBaSPWThStLebhv0+jtLAch9uOGHWUDUIRwsEwNqetXlubw8q1L1+E\nt9yH1WHFnuCc5iLkUMG1zZqRqeC7aKpmK8bCGqwsIsiBSbW38xWZ6gUUQUIURP0pHdwRvgOgqCRX\n3YJFmZWKrSxFxBYLuBHczZqgG3WiHwUngrOlw41RXlQRd+zZUtHAmU0nkQEzIoZZoX1dGYMPGMDB\np+6fsut1GNI+sTSNEQ6GefGfb7JpxRYKV26hYqvpRPZ6fDgy7VjsOuFABJRZtiWRAduGUqqD1SgS\nkLo6ebYmlGUpwa2eiMlO6bIRgyeo5NKUjzRNPFaWoVMTwq6pauz8SLW0LGrUI9eQz3lomLW2BIXC\nXyelovm4suINYkZ2avptiEcvfJb5ny3GCBv89NECSjaWcfyVO1jB1vR2YprGmHbNK8x5++eEN4pu\n1Rl39oEUriwiv3cep9/8l7YfYAvIVv9Chc0kZRFT0TzAGELslVR7nY3o1ETCKSVYWN8pf1SdDYN8\nBBeKmsg8Q1qeDG1lORr+mIyYlXVkyjMNbCebMlOCHSE5v9bf/30mT17+IpVlVbhzMjn3303zX61a\ntI4Zd71LJBxhyJhBnHjNUQ1WjwhUB1m1YC1G2Ax88nsDLPz817QR6wCkjVgbsmFpYYM3SZdd8jjl\nhmMT+sA6OhpbsTEXFVWvVwpC0h+P3EqyPhRTg68rFsyVmIgiLInDmdOkljC74pMjcTITRZAwfVKy\nArayBKUica9pypPgNxAgV03BwmrAgl8OSer6vXfryR2fXEs4GMZia9qjrKrMy+MXP0fRGjNBec3i\nDTgzHQ0GU+m6Vu+3qbTO91vdEUl/C22I1Rnv38nIcjJo1K7sM2EoV0w/r1MaMJMIdZ9MpvM++f11\ng3wq5QJCMoCw9MHPn6jkwu03TJMSqriYEnmSEnk0GoyTaCUWxsbP2PgRCCR4Px6bWhB3LKLhk6Pq\nnefmKWwsQFfl6KoYp/oYC78lPfamGjCAtb9toGhtjcJGyB9i6Q8rGr3GfscOx+k2K41nd8vi8POa\nnivZ4Umr2DefhQsXMn36dAzDYPz48Rx/fPx+fCgU4pFHHmHVqlW43W6uuOIKunVr+/o9X7/8PfM+\nXoTNaePM204gv1fu9htFOeu2E3nqihcpL/Lgys3k5GuP4oAT2k5suLWwsgTQEUyzFZFsqqXp2ywB\nxhKQsakeXpokMegKdG3g3TC56jqzejMGIXYHea7R/hTxOoQGWQm3lzVVRO1dPE35sMh6wrSeCnx+\nr1wyc11UlXpjr2V3yWqkBZx203EMG7cHJWvL6T98F3bZLfmcuU5DOrCjeRiGwbRp07j55pvJz8/n\nhhtuYOTIkfTuXbOd9OWXX+Jyufjvf//L7Nmzeemll7jyyivbdJyzXvmeGXe/i89jJn8WriziOGMm\nnQAAIABJREFUn+9dicNlT6p9wfB+3P7JtRSvLyWnexauVnZEtwVO3sGtnkZTVQgQljwq5FqCHNDe\nQ0uTQpx8jI0FsfpgNpYQ8T0B/LXBNhF6YWV1reNdSPTICcgB2JiHrkyDEpbuBFtZP7PHgG6M/+tB\nfPvaj4QCYXoM6MqZt21fTWP3AwbS5dguFLegWkNHJp3s3ExWrFhBjx496N69OwBjxoxh7ty5cUbs\n559/5pRTzMTb0aNH88wzzyAiDTpiW4N5nyyOGTCAwhVbWLN4PbuPHph0H3anjV0G92iN4bULDvUV\nmjIDAhSgESRMxyp8mKblaHjqFbhEGg9p98hNCPehswWDbCpkSsLz/ByJJh4czEHQqJJzMGj9XZYT\nrzmKI84fi78qQE6PLLR28HFJVDa+LZ9jjZI2Ys2jtLSU/Pwakdn8/HyWL1/e4Dm6rpORkUFlZSVZ\nWfFbADNnzmTmzJkA3HvvvXTpEl85uSVk5carSzjdDvoM6F3vGhaLJaXX7choFXZqV5xXqoqu6gIi\n2e+Bvp2/gVGBCs9DVB5Y9oaO8kNuIjvF9x05Han8FGWYuWSiuqO7zqSLKwsVeBvEg9iOB72u8XkU\nMJ3veY1e4JLoP5KMTUwRzfjaUvV9P3PTK3z/7s+ICPsduQ/nT214VZumYTqEEUslEyZMYMKEmrpF\nqVz2n3zjMaz5bT2blm/B7rKx3zH74OrmqHeNLl123O2Gulg5k1y1OKavZ5qhCqR8MiXyTIPtNDaT\nq65FZz2mNHAOJfJo0tp6HYmd4/u2oHMXmWo6ighVxunksCtG6SSsLEYpIex7kzK5P0GlZwNFRTRY\npHOrYETCEWa/Oo9Vv67mgBNGstv+Bc3qZ94nv/Dh/z7HX2UGyHzyzFf0GNyVMSeOalI/vXp1vt9L\nqmmxETMMg7feeouTT25+Bd68vDxKSkpixyUlJeTl5SU8Jz8/n0gkgs/nw+1u3cJ+dcnplsUt713J\n+t83kpGdQa+B3dv0+h2REPsQkOE41Zy41zU8jbZzq8ewRhUiQNApI5cplMhztEYp+jQtJ0I/PHJb\n7FiFvosZMACL2kgm0+OU63XWkaNuR6McIYMKuYwgTXtQdxREhP/7+9P8OmspkbDBvE8Wc/YdJ7L/\ncU333y3/eXXMgAEEfEGWz13dZCOWajqjT6zFm8CRSITXX3+9RX0UFBRQWFhIUVER4XCYOXPmMHJk\nfNTevvvuy9dffw3ADz/8wNChQ9tlH9nutDFw310TGrBIOJKgRcdEZw1WfieZUOnt4eUMROJvpXAD\nKyoLS8hR12OLVm+ujYYHhS9BqzQdkxD1nSjxv4Fs9QBWtRJdlWBR63GrRxK0aR9CgTDv/OcTpl8/\ng5UL1m73/OINpaxcsJZINOG5oriSr16c3axr73HQYDJqKY443Q72OGhws/pKKaJa9q8dSGol9thj\njzX4nmG0vB6UrutMnjyZu+++G8MwGDt2LH369GHGjBkUFBQwcuRIxo0bxyOPPMKll15KZmYmV1xx\nRYuv2xyMiMGGZYVousYug3uglGLN4g1Mu/plvB4f7vxMbnzlCuzZHXenNov7cKhvUfgJsStlMjVp\nlYREhNmLCrmULDUNkRBh+sbN2LehsYkcdVtMWkok3g0mZKVUWy9N6yLWgwkzGCt/ABCRbnglvqZW\n3UmJohoIAslF9LYWRsRg6tmPm7lhAgtn/sq5/zmLvf7UsOC1pqkEewTNe3DvfegQjrpwHD+8Ox8R\nGHnk3oxqYSmllNAx5hdNIqkn7ezZsxk7diyZmfXLZqTCiAGMGDGCESPil+WnnVZTMdhms3HVVVel\n5FrNJRQI8++JT7B60TqUpth99EAum/Z3pl37Mut+N2tklWws46Hz/sf1rzWsGN6eWFiKQ30d82HZ\nWI5bHqWCG1vUbzUn4Mo7r1HfkINvYgYMTAMmYkHQMehKhVxGOv++E6Gc0RIvL6BRhZcTiTDAfAsf\nLl5C4Y1rYlYJbzsDVrhyC1vXl9J/rz5k5dc8v9b+tpFVC9bGHtrlWyr47KlZCY2YETF4dsoMVi1a\nRyRioOkKIyLkdM/i8PMObfbYjr30MI69NF1Pr6UkZcT69u3LPvvsU2+LDyAYDPLuu++mfGAdkQ8f\n+5wl3y+P3fi/fL2E717/MS7sHqCyzJugdcdAozQ6G671mvK1yQwsQndErChlylOJgFdOwcvE6Aos\n7QvruAQxb5J4AyS4qOKCOucGyFVXYVNLATDEToTuGHTHI9e1yWgB3pr6EV88/x1VpV669svngof/\nysB9+wOg6Qqlxd9vqoH50xv3f8h3r/8U20bMynez//HDOfiU/em35w4mjdYJV2JJTXsPOeSQBldc\nFoulRUEdnYnSTeVxX3IkFKFkYzlZXeIDTPJ6bL/gYHsRYi8i9I0dG+KmWg5tk2sHOIQAozHEhSEO\nQuxNFX+LqpqnDVhHxc1/6aom0kVNJFvdCTS++2JjHlaWxY41FSDMrpTJA1FVkNanusrPt6/9GFPk\n2Lq2hNfveS/2fp8hvdht/4KY1Ft+r9wGV0Xrf98YM2Bg6i6OOmqfHc+AYQZ2tORfe5DUSuyIIxqW\nENI0LZaEvKNz8Kn7s3Dmb3i2VgKQ1yuH0X8ZwUGn7sdTV7xEVZmPnG5urn/+EkJ1JHc6CoKbMrkX\nN48BIfwylgATttuuLjqrcGFWaK5iclKVgkGjXO5AZy2KEGF2pe4tqCjHyUwMMvEzod77adoWF0+Q\nod6KRSDqMosQQ/DR2MRVx5yU1H6qte02ccAbIByKDzIJ1wq80jSNK589n29m/EhpYRljThjZYHX0\nvDrScrk9sunaJz/huZ2eTrgSSz8hmsCgUQM45/7TmfnstyilOO6yP9OzwIxSvPGNy2LnlW/x8PRN\nLyERYcI5f2LPP+3WXkNOSIRelMtdzW6vs5JcdQMWVQSATeYRkj1R3t4oTtpOvShFhP4J39EoIk9d\njUWtR0Th5BPKZCrp27R90FmJS70bp9ShVBinvI2PhksFBdmXIHthk1/M/DHpRZWc0xZDjpHdLYue\nA7pREZ1wWh1WhoyJj/7TdI1Dz9y+PNpZt51A8YZSClduwWK1cPKVx5DXq+PutuxsKNmme7KDsmnT\npja9XummMu477TE2rzYf8Dndsrjkf+cwaNSANh1Hc7CyiEz1HGDgl3FUc1zC87LVXTjVzITvBWUI\npfIQjTnvnXyATS0gJAPxcRrbZunZ6m6c6vPYeSIaZXIHQQ5q7kdqE3bUZGcXL+PWnqz3ugj45Fjs\nXe5p5HOHcPIhGh6qObJRGalMpmFX3wGKapmAj6bVBWsIvzfAy7e/jaeogt0PGMgR549tUVpOKBBG\nt2p069atw3zfqU52Lpj6YIvar7ym7YPv0lPcFPPTBwtiBgzMEupfvTSnwxsxjUJy1L/Qo9GDVlZi\nSDYBaspN6KwgWz2MzpoG+7GyFBsLCDK6Tv9luNXDWFiKTjGaCuFgFlZW4ZGbomeF49ooZaBJy/PY\n0jSG4OJZ7Goegk6l/IMwewAQZCCGOGORrNtQCqyN3AMmVqrZfmVoO1+Rod40g4sAnVcIy2CCtLy6\ng8NlZ/L9pwOmQVsyZzmunAz6DW2eL8tq3/Efl50x2XnH/1bamKyuWegWPS7x2Z3nascRJcbJWzjV\nF4DCK6egURYzYACaqsTBLAKyzYj5yVV3YlFmUui2HK+6uV6mL2TbbWXE/uWo67CpeD1MpcJYZTFm\ngqyOV07Dxq/oyqzwHJKBBNJq+K1KBq/jUjPQlB8AnbsokccQcgixH9VyFHa+QacEpWqCGwzctbxc\nYRTB7WwjJ8bOzzEDBuZ9Z5P5KTFi2yjb7GHqWY+zaflmbBk2Rh41jPMePCvp9sHqIH5vAHd+ZscR\n6m0t0qVYdhwKV27h1TvfJRwMs++Rwxg38cCk2o0+bgTzPvyFRV//hhEx6L9XH064un4hwPbExne4\n1XQ0ZfoLdDZRKZMwxI6mzJWPiCIiNVtAFjahUbPCNKs396ZaDieDj7CoQgSNIHsTZB9cPI9TfQyE\niLALFtY1MBqNbZGJYXanTP5FhryBkBENGOn85Wo6Mja1MGbAwLwXrCwjyP4AVHIplXIeDj4nk1dQ\nBIjQlQq5hjzMUjwu9Vq0InRvyuVfTfrOguyJQ76IjSEiGQQT1BxrCS/f/jYblhUC4K8K8PNHizj8\n3EPpu0ddjcf6fPT4F3zx/HeEAiG69evCVc/9o1miwZ2G9Epsx6CqzMtD5zzN5lXmQ3vVonXYHBbG\nnDRqu+UaNF3j1reuYe4XCwgFQhQM79/sbYiAL0DZZg95PXOwOW3N6iMRTvVtzIAB6KoUXSrwy3js\nfI8iQoiBVFHjjI/QBYMstFo5ZmEG4mMifjkcp7yLy7aOYLAvVhbgUq/WbBFJMZLgVjMkE7+Mh7g5\n/SAquCFlnzVN4xiSG5fdYJBFhLqlghz4ORa/HInCi5AFhCA0n0z1Iroy/UM6xbjl/5r0/fk5Aqv8\ngZ2fAIVf/pTyWnTB6vhI4aAvSNV2cjlFhOKNpXzy1Nd4isySM56iSl645U1ueql91ILSJCZtxBKw\nYt7qmAED8Hmqeem2t3nr3x/jysrgnPtPY8A+DdfM0jSNguEtq6m14PNfefn2t6kq85Ldxc3kf5/B\n4JGp8auFpS+CjlLmlqchdsLsipeJaFKMIkSE7tQ2LkIWVfJXMnkpOhvvQYVcFX3PgUPNQQuvxq1B\nWD6O2yJSChCDiLjR8BGmKwEZT4D9CDEsJZ8pTeM4eRen+gxQ+OQ4wvTFrZ4CQoSlF4pqBAt+OZJI\ng/XgLAjZ6KwhR92OXrkF6shK6aqkibN5RSWXUxmLL0v9dtb+xw1n+c+r8ZabY+05qEejv9837v+Q\nn96fT8AXxLM1vmba6oXb11jszKR9YjsIOd2zcWTa41SmfZ5qfJ5qSijjmWtf5a7Pr2/VMbx+z/sU\nrSmOXfvlW9/itg+vSUnfXk7HyhKssgRz9juaAOZ2qdHIXomfo/HL4dEHXibbHjgZvI1V1VTwtahS\nRFRcaLZgp1zuBhRhCtLbhG2IjZ9wq2loynwg66xHsGBRZuUIQzKolL/j5wiE7ftvs9RDNd93be1L\nsRCSQc0cZev5YrYpw//43gJsThtnRSs4/zF3FZm5rjgx719nLWXm9G+orvQn7Kt0s4fijaXtLf3Y\neqSN2I5B/736cMDx+zL3o0UE/SHEMAj5ayLnvJ5qQoFwq0UrGYZBoO4WSHUohVfQKZe7UJQDerTO\nU7JYENzobMLObCL0JJGCg4EFTUKxoI8wfQmxJxCMVvrtmpQhc/IWDjUL0KmUyYTZswljTQOmZuU2\nAwagq/gyOZryYWMR1XJSUv0p4h/wIhbC9CMoe1DFuS0fcCsw5sRRMWNWsqmMO457kMKVRThcdsac\nMJKJd5nJ2yvmr27QgAGEAyGKN5bSZcCOmSfWGVdiabXVBvjbvafxz/eu4ua3L2fwfvGF79z5rlYN\nt9U0jW594xUBGlITaAlCThMNmImFX8lVV5KlPUq2ugOLWkNI+sfej0gWGjUGTESjUiZj4Xe6qPPI\nVxeRr87FzjeNXsfB57jVNOxqEXY1nxx1FxodIz+nMxFiACI196shVgyxxp1jSG7dZjEUPiwsQ8OM\nGg3LAKRWFFuIgZTI01RyNduKXmqURAuehhP02L68dOtbbFy2GSNs4PNU88O782PugyEHDiYzt2Y1\nqlu1mDQVQJe++fTZLV2IsiORXok1Qvf+5tbaRY9O4vGLn6Nss4eMbCfnPpiaZMzGuPSpvzP9ulcp\nL6qga998Jt1zaqtfM1nc6tmYGr2mgthkAaUylTznXKp9VVjUWhy1imQqZaBLCRlqOpZoIUwNL5lM\nIyB/avA6dvUdmqpxwFvUZmwyDz+Ht9In2zGp5nhs/IJNFgOKgIxC0HEwOyr/1Z8q/pGwren/+ic6\nmxAy8MppVHAVIlYyLBsIhB1UyDXU3g7M5BGc6stoxGJfyuSBpLYp24q6gR5+byDmL9ttvwKOu/ww\nvp3xIyLCsPFDCVYHWblgDVabldP/eTyu7Ayqi3fQunedcCWWNmJJkJnr4tqXL2rTa2ZkObn4ibaV\n6kme+O1DRQSwIxmXU+UrxikfYmNBLEk2LF0JMRzF63XaBTBn6olvQ0Py4yPnxBndvkzTNDQ8chuK\nSkBF/Znglb9Gg3R6sW0FVZcs9X9Y1bb0iAoyeZZqOYpKrsSe3YXyOsoVFlaSoT5BU1UA2Pg9Wuqn\n7dTrt8fwP+/FinlrYtuGPQu60XtIzerq8HMP5fBzDwVgzls/89m0WYgIu48ZxIBhfRN1ueOQNmJp\nalO8oZQNyzbTZ/ce5O+S197DqUOATJ5FV0VUyziCJJcHB1AtR2BhJbryIAIhBhGhRgWhmqPRpBQ7\n3wMaVTKRCD0J0xeLrI5tM5oGyQIEsfELgk6Ivdn2QK3kfKyyAguro5FzB0XfT9Mc6m4dNyYFtQ2d\njXHHihAZvI2XydFXImiUIGQiZKCxJWbAtqEpT4d6OI6fdBBKKRbO/BV7ho2zbj8Re4IUlg1LC3n1\nzndigt+bVxbRtU8uJ1x0TFsPuc3ojD6xtBFrJb597UfeuP8DyjdXkNsjm1NuOJYDTxrV3sOKYpCr\npmBjIUoJNuZSKRfgJ7mkbD+HYUgWTmYSkS7RfLL4mbyXiXhlYtxrHrkRwYWFjUTIp0KuQuEjV10d\nLd2hEWQYZXIf5q3poFQeQqcQwREtqJgm1Zg15vzRtIr479GQbFDxSe5Kon4uo4w8dTE6mwE7XjmJ\nag4jLL2xqA3R9hkEZP82+iTJM+6vBzLur41P3H77dlnMgIG57bh41rId2oh1RtJGLAXMeuV7Zr38\nPQAHnrwfp119PB//70vKN5sRYWWbPXz0+BcdxoiZqgwrasprqAqcfI5fklcWCTKaoIze/okA+NGo\nwCDf3FaqNdvL5Alsakn0yMAmC3DwKX6Ojr6mEWH7ygppmoeb/8OhZqEIE6Y/ZXJftECpiYcp5Mul\nsby/sHSjOjrZ0bx3YokWvgRw8Rp+GU+Z3I6bx1GECcjoBoWkOzr99uyN0+2IbTvqFo1dBqe3szsa\naSPWQpb9sILX73mfymjxvS1rihm8TwHhYHwto0id2kZ1WbVoHZ8+9TV2p5WTrz+mXqHNVCJYkXo+\nkFTm6YRw8zAWtR5FIDrTD2DQhTK5G4OavByN+GRSMwikPIVjSdMQFpbgVJ/GDJSNX8iU/1FJjSJF\nhAJK5d9k8hKgqJJJNVvHEh+qr6hCo5QwgyiXqW31MVqN3Q8YyLiJB/Lj+wswIgYFI/pz7CVNr73X\nqUhvJ+58zPtsccyAgSlZ9f378+i/V2+2ri/BCBtoFo3+e/dpsI9VC9fx8HlPU1ZoPhRWzF/LzW9f\nTkaWs8E2LcGgOwHZDwez0FSAiHSjSiYB4OQ97Go2gpNKubRZW3jZ6j4cfBGX7AygU04+F1AmdxFm\nKAA+/oJNfsISlS4KS0+q+XMLP2GaZLBQGKesAokVN8IMSVh/Tix7IaF5KGVuL0boHucb3RE49cbj\nOPHaozHCkZRKv3VU0j6xnZB+Q3tjdVgJ+c1kZIvNwq579eWkKUfSpXcem5ZvYZfBPTjpuqMb7OOT\np76KGTCAjcsKmf/pLxx0Suv5Eiq4Ab8cikU2EeBAIvTEybtkqifRo2HtFtZTIo8Cjib1bWF1PQO2\nDV2VkcttlMndhBlMmN0ol1vJZAaCRpVMTirgIE3LCTKMsPTEokxx3Ii48Ett3ULByQdYWUqA/QkQ\nnw4hzsvw+jzYWIJgp0IujduK3FGwWHWwJo7e3OFIG7GdjzEnjmTJ7OX89u0yRIQhYwZxxOSxlJSU\ncOqNyfkCbPb4xFNNVzhcra1rowgyhtoZMw41O2bAACysxcoqQtH6Uski29Hk0dVWMuSdWNh1mL0o\nl9rK5RE0iqMRbx0nv2hHwyCfcrkFN08DBgEZExfck8UDONRMNBXEIV/jlbV4qRWsozSquLhTPvia\ngxExeP+RmZSuL2OPQwaz/7HD23tIqacTfpdpI9ZClFKc++CZ+L0BRARnpqPJNYdOnnIMKxesZdPy\nzWi6Yrf9BzL8sOaWowjj4BN0tuLnsCYFRRh1VlyCE6MZih4VcjE53FvLEAk6xXF1xxrqV1FOrpqC\nTiHgwCsn4OP0Jo8hTXKE2YMySVTNN4xNzUdT5jRHU14czKoXcboz8d/zn2HhF79hhA1+/GgBJRtK\nOerC8e09rJ2etBFLEZtXFfH+fz9HaYpz7jgDV7fkt+ByumVx89uX8/PHi3C47Iw8ahi6pTnbFwY5\n6gbszEepCE75hHK5nTC7J9W6Ui7BwnosrENwUi3jidCwL68hwgylRJ7EztfY1fcYkoNFrcUmvwIG\nIXbDy6SEbbPUg9hiEW8eXLyBX/6cDq9vc+pPxKQVRXo7Ol6Pj1WL1mGEzUT/6opq5n60aIczYmmf\n2E7KpuWbefjcaZRsLANg3a8buealC+jWL/nqea6cDA45o2V1lCz8gY1fYiVWLGoLmTxPufwrqfYG\n3SiVR7GwAoPsRkpybB8rv+JWT6GrUlAQksGUyV2Y25jDaUgGXCM+UXZbxFvaiLUGQsNRqToB2R+d\n91HKQERrRKE+gM5mDHIQsltprO2LbtHRtPi/Vd3jHYJOaMTSAsAp4MsXZscMGMCWNVuZ9eoPbT4O\nhUF9Rfmm3ZVCBiH2bpEBA8hQ75gGLIqFFYCNIKNprI5FSPaIE6uN0GOHi3hrb3Q2kqcupIs6izx1\nIXoDVbcVAZQy7yelDOxqQVS6Kr6vfHVBTNQ5g1dbffztgcNlZ8Rhe2HPMCMUc7plccT5YwmHIsyc\n/g1v3P8hm1cXbaeXjo+Slv1rD9IrsRRQW/UaTFUDd27bBySEGEyYIVjlF5SCiOTjk1PafBxAvTw0\nwYIkiHLM5H/Y1Q+AolqOoorJIEFs/B6NeLtsh4x4a0+y1b9qJZhvIpt7KJXH652nR0Wet6FRjk4R\n4Vr+zCz1n1htMQ0vbp7Eym945HZ2tDnyxLtOZtiEoZSt8zBgv77sMqgHD5z1OEvmLEcMYc5bc7ns\nyb83mk6zs7Nw4UKmT5+OYRiMHz+e448/PuF5P/zwAw8++CD33HMPBQUFCc/ZRtqIpYAjLxjH4q+X\nsHLBWhQw5IDBjJ90cDuMxEKpPICLl9GlBB/HJO0PSzVVch5WVmJRGxHRCbIvIYbEnePgYzLUOzGh\nYI0XCMruVHFRp9zW6CxoeOod6xRikBG3HRiWXthYEAvIMcgjQo+4tnVriyll4JA5hHhthwzI2fvQ\nIXTp0oXi4mKW/7yKP35ahRjmzVqyoYx3HvqEK545r51H2QJa8XdnGAbTpk3j5ptvJj8/nxtuuIGR\nI0fSu3f8Tkt1dTUff/wxgwYlV2A1bcRSgN1pY8prl7Jk9h+gKf70lwMo97SX6oQdL+2vfh+hD6Xy\nX+zyHQbZBDiYujNzu5ofM2BgFmu0y4J04ctWJkIuFjbEjjXKyFMXINjwy2FUYT6EK7kMjUqssgbB\nQaX8o17KQ1B2x8pvcXmBSkWwsmqHn4iIITEDFntNOvmHbsXhr1ixgh49etC9u6nYM2bMGObOnVvP\niM2YMYO//OUvvPfee0n1mzZiKcJqt7D3ODOfymK1ICJ8Pv0bVs5fy+BRAxj31wObHHrf+QkiWIjQ\nhURbS0HZAzuzYmHchmQSjCp5pGk9PHIL2dyFTjmKCnRVDpiTCSfvUy2HRX2idjxyR6N9VXEhmnhw\n8lVMucMQF34Z08qfov0ZMLw/BSP68cdPqwDI7ZHN0Z08WjEVfq0pU6bE/n/ChAlMmGBKdZWWlpKf\nXxOglZ+fz/Lly+Parlq1iuLiYkaMGJE2Yu3Ns1NmMPuNuYQCYeZ/+guFK7dw9h3JlX/fEbDxE9nq\nAXS1FUMy8Mkx5jZhLao5HqusxMZ8QMMv4wgxon0G3AHQWU+WmoqGjzB98Mj1NBYE01wMulEmDwOQ\no6agUxOEpFGJTlETAnt0KriJoIwig7cBwS9/IsChKR93R8Ni1bn25Yv46PEv8Gyt4NAzx9Bvz04e\nhJQCI3bvvfc2q51hGDz//PNcdFHTajemjVgrseT7FYQC5sw0WB3it2+XtfOIUoOiAjdPopSXajmG\nIPsmPM+lXkBXZjl7Tflw8BVe+RtCRp3eroHYFkzzV6qKanK4BYv6A8FFhVzT4Ng6JhFy1K1YlTmr\nt8hyrGoRJTINIafe2Zn8hwz1GQABGYmH5gVSBGXfaAHTQHQUvQgxuMn9+DkMvxzW5HadHZvDyvFX\nHtHew+gU5OXlUVJSEjsuKSkhL6+mzqLf72f9+vXcfvvtAJSXl3P//fdz3XXXNRrckTZirUTdHBK1\nQ+SU+MlTV2NV5haAjYV4ZApB6ms8qoTVn4MQZ8Rq3m0pueoybGrb1kQF2dxEqTxBhP5N6EXIYAY2\n9Rth2YUqzqWtfiIaZWjUpGkoBRZKyOE2yuShuHMdvI9LvRfzQzn4lrA8hZd/NPm6Pk5GiRc78xEs\nVMoFCNlolJCt7kCnDIMsPHJDuiTOzkAr+sQKCgooLCykqKiIvLw85syZw2WXXRZ7PyMjg2nTpsWO\nb7vtNiZOnJiOTmwvDjx5Pz5+4ku85T4y81wccnrLEpkbomRTGU9d8RJV5T7yeubwj4fPxpWdyFC0\nHBuLo/leJroqI4P3CG4reig+srgfXRUhAgZONFWNiCJEQaslwiqqsNTJddKVH4d8WasC8fbJ5FEy\n1HtoKoigsLAu6UTxphMgi6lY1EYMsqmQK6NBE2VxZ+kU12uZoT6sE0gBdhbgTfgACuLmUSxqPRHp\nTgWXEy/orPDyN7zyN5x8QJZ6KPpqFVZV8zfN5q6EYfidlZjPesFahoweyCFnHpByn7Wvohp7hq2Z\n6jvtQ2vmeum6zuTJk7n77rsxDIOxY8fSp08fZsyYQUFBASNHjmxWv2kjlkKC1UE+fGxeQ2nqAAAg\nAElEQVQm/ooQo08awZDRA/nj51Xstn8BBcP7t8o1Hzl/OqsWrgVg/e8buWLUrewxZhAXPjop5SLC\nghPBiqolGyy1biGt8goytDnR1zWCMgSDLkSkp5n/1ewVVxA3j2FRmwhJX6q4gNq3rik4bAUCNa+J\nuTXWFOxqYSzIRCnBIisxV4+pL8GRre7Bqb6OHWt4qJB/kMsdKBWKvW4kEECOSFeoVYxSBMKS2IeV\nrf6Fg1mm0VOgSSnlcl+982zMI1M9ha480T7jtybNVWJjCh+di+nXz2DOm6bPesFniylcWcQZ/0yc\ns9RUqiv9/OdvT1K0thir3cIR/xjL+L+2R8pNM2jl4MoRI0YwYkS83/u0005LeO5tt92WVJ9pI5Yi\nwqEID5z1eCxS6fPnvqZbv3zOue/0VjNg4WAYz9b4opJBX5CFM3/jmWtf5aLHEusTNpcQQwkyErv8\nhFJhwtKHStm2hRVGGWti5yploFFNmdy+nV4N3DyITf2GoOOT04EALvUWYBCUfdDUVhzMRinBxlx0\nSvDIrbX6sFIlZ5DJdBRhTGmrofhpmo+mfqFQPfov9dQOcQfQ2EqQUZTIf8nmHjS8GLipkKvqta3g\namyyFA3T5xihW6wiQP3rxJfFsbCeRMbIzrcxAwbElDq2YZBdr01nRUT+v73zDo+i6v74Z7am90Ao\noQUIXUqkiRQBwUKxI2ADRf0hCpYXe3ltWLF35EVFBRsqKEhRivTeSyC0kN7LZtvc3x8bFjbZNFI2\nS+7nefI8ubN3Zs5smTP33nO+hwPrjzjXrM0FFvasPsCt1IwT++qpHzi06aizvfj9FfQaeQkhjYJq\n5Pi1idRObMAk7DrBsR0nnG27TSXpaBpzHvueF/54FN/AqtXkqgw6g67M42YkZrrdXj0UssVLGNiE\nRuRgpu95QQdaSo5YRCVGMP7Mx09Z5hx9aPkAUNEqucXt0wh8nTdiRRHoxdFSxylkAmYxGD27sNES\nG52o6k23QExAw/volDTsIphCcQ014cSMrMRXWVVcaHQqKqFuVEgMaEnHRlsyxP9QKCwOgnEnxBtC\nuvgKPftR8cdGrNt+Z4/ruq/BbV8bbRBC7/wcVKEtrsAtnGtiFxOldBDLmEo05RWxb+0h/IJ86NC/\nHRpNxcEzJR8s8zLzyUrK9gon5o1IJ1ZDaLRaFK0CVtftWck5pJ5Ir7XQ2ztm3czcx74n+Vgaqv3c\n03NI49oSYtVgwd36noLqezci/z00ZKESSb6oWLlArxxymT5z5CyddzbFiipc660JXNtnsdPMGXxg\nZA3+ynco2DGLuOIE3vKdmpmB2EQ79GI/Ntpgo3WF9leED8sJUt5HU+yUdSSQKT4gRzxMCP8tnqZT\nUcgjXPk/bESRLV5DJRTH2DAJUIunRs/ZL/CtVPRlnphCELPRkIFKGPniTrf9TIzCwC4MYhcAZtGL\nXM7m+1wcI7CzKIpC/+vjWPr5PxTmmAgI82fg+NLf6ezUXN649SNOH0pCZ9DRdVAHHpwzucLjt+zc\nnIMb4rEXK96HNQ2lcevIGr+OWkGOxBourS+JJrZ3W/auOeiyPTDcn7CmpUOka4r2cW14ZdUT7Fqx\njx9fX0JRoZnI5mFMeqMuJH8E/nyLXjmATTRHGGaSKTqhJRkbzRFU/ORpEy0RrHdOX9lFICDQKg41\neyF0mEVv9OxHSzp2GpV5Iz6LliQClffQKenF7ZPYRSQmrqvQHjtNsNOkwn6VxUdZ6XRgADqOo+MI\nVrqRIT5HRzyhypNOsWQDuQTyDjniOYKV/zpknxBY6FAcZFK1n6xjivJTtCRhpzFG1hGq3A8C8piC\njbOFHRVyxDPFAr8KgoCaeQPqKWOmjyS2b1uObj9Oh35t3U75L3zlN04fclS9tlls7Fl9kIPrj9Bo\nbPmVx296YhSm/CISdp9Eb9Qz7pmx+AV5if6ndGINF41Gw8NfTWHFvLWsnLuOIlMRfgG+jH7oSgLD\nzt0QTu5PZNHspSDg6vuH0rZXq2qfW1EUug/vQvfhXRBC1JkySCDv4qv84YzmE/mpqDyLSljFOxeT\nz11oSUQvDiHQYRJjAQt+LMFRe6wzOTyBRmSh5Qx2mhePUspGzy6nAwPQKEUY2IlJjEUhtzgQpOan\nd91Rssq1wHiedJMO0KBQ4NJHQz4+rCheB3SMUo1iK/58TwETL8CGQGwE4s9X+Cvz0Ch2UEAvHiNX\nPOxSzVlcQBFUb6VD37Z06Nu2zNfNhRaXts1ioyC3qIze59BoNdw5y32wQn3HG8fc0onVIFqdlhGT\nBzNh5o0kJ6Wg1WlcHErqiXTenfwF6accT90Ju07y8Nf3Et2halF05VGX0lYGZY9LNB/2g4CNqn2t\ndOSI53GUkFE4+zNyBHjgbKuEV7qmmI02qCIAjXM0p2AXjQlVHkNHAqDDJK4kn4qnhqqClmP48z1g\nIJ9JqISRJ6YWj75OIvChSFyOjXN5L3aisROFBsd6qioMWEQXtCS6TLMqiope7AAmoiWRQOVjwEqR\nGEoRAzGwC4EvVrpQVtKzUVnrcGDFaBQbfvxKkTjnxLScxsBWbLTBSreafHvqFSf2nmbDL1uJiA7n\nitsuQ6Mt/Z4Nntifw1uOkZvmKD/TLDaKzgOqngguqV2kE6sldPrSAQFrFmx0OjCAzKRs/v76X25/\n2TPlUqqLKPX10XHhgRAlbyIX7oxttKdA3IAvywA7NtqhYMHAVqciux+/UCQGYaMtvvyKr/InDsmk\nYRRS9c9DSwKhyhPoisuX6MVeMsV7zkKjevahElIchHEOgS/Z4iUCeQ8NZiyiKwXciZYE/MQil4hB\nvXIEvdhJsPI2uuIcLgP7CeBLtKQg0GGhV/G0oztH5u6zOfc+G1lHkPIOWiUdVfgXS4XdX+X3or6z\nZ/UBvnjkO7KTc9BoNez+ez8z/jel1ANg14EdmPLOBP6ZvwG9j55xT4/xnmnBC0VOJ0rKIzgiCEWj\nuChfB4V77/RNgRiPhg+Ko/lCwHgz2OrHhEQBd1EgbsMxMtQQqdzE+fcojZKPVpxCoYAA5Uuns9Bx\nBpto4VaFpDz8WeB0YAB65Tg+YiUmrkMQUO7x7ESTLd4osa0NVtEOrbLVuU2r5OIrFjkdmOM68tAU\nF6pUsGIUWzCwHgsDSp2nQExAx4vnCS4bMImrzl2D8h3a4mlYjVKAL3+TLyZRG/qNnmTpp3+Tnez4\nvFW7ypGtCSQdTaVp28al+nYd1JGugzqW2n6xIkPsJeUyZGJ/ti3dxeHNCQgEMd1bcvX9V3jarAvG\nzCCsIha9OIiNNoT69oSC0goTtYVCIQF8iUbJoVBcg5XuJXroAB3+fFGqhpZdBGOlM3787DLa0Sh5\nGMW/VXZilIiYFEJxWwS0KljpiVHsQCmeAlSFARutUcVGNIr7tRlFsaMR7ssAmbmcDPEF/uJ/aLBQ\nyBgsXHpeD3uJPVQUrKXW9bydUtVShHCzsYHihW+DdGJ1hKqq7Ft3mAE39ebKewbj42ek/aVt0Bm8\n+yNQicJcolBi3WAlVHkUg7IfcChO5Ij/YKFvqZ5aUim5VFgkLkOlEVbaoQqjUwDX4Siqvu6Rx2T0\nYg965XixzFZniqheWY4CbkbPXvRiP6DBLOIo5DZ0ItER9IEZO1EoFKBVHHJVNhGN2c0o7Cx2WpDL\ns25fM4vL0HESjVKIEBqstL8ooxRH3D2YxENJZKfmotEqxPRsTVRM+RGHDQbpxCTuEELw3uQ57P7n\nAHarnSZtG/Ho/PvdOjBVVUk8lAw4FpIrk1zZENFzGD2HnW2tkokfi7CI0k6siCsxis3OHDS7aEQh\ntwJg5gpMYidGNgMCi+iBiWuqbI8ghEzxPj5ilSOAgyFUX65KR7Z4GQ0ZgNYZlZnLkxSKBBQKsdIW\nA3vwYxECPXniHmcCupZj+PEbKgFoyEarZGEWvTBxvduzFXAbdhGOkS3YRDMKuLOa9tdPLhnaiYe+\nvIf1P28hIjqM4XcNlL8zL0Y6sTrg8JZj7Fl9ELvVMV2TFJ/Kwpd/LyULZbfZefuOz4jflgBAu16t\nmTFvilcJiNYV7hKeNZScRrMDdizEkSumFYfta8gXt2EnuriPQh6PkCfO6i5e+NSZIBATYy54f/co\nqESU2np+IraFOCyiBzqOoaEQFRUdBwhVnkerpCEEzpGoga34s7A47L4JueJxl/I4RVztEq14sdKm\newvadG9RYT9zoZm9aw9h8DHQeUB7t1GMFxNyTUzilqK8ImxWm8s2m8Vaqt+KuWvZv+4Qqt3xTdq3\n7hAr5q1jxORBdWJnbaJjFwHKdwAUipuxVLP4pY02CLTFWolnObdO5M//8FWW4cg1iyVHPItZlDe9\nV7PrPga248Nf2GlMARNwNyrTkIaBTdhpho12GNmIim/xlGhVHlwshCr/Qc8BHIoq3QCds56ba0CL\nGQ3JQDJ6HKVrKqrefLFhNdvISMwkuFEQvgFlr1vmZxXw2rgPObkvEa1eQ8d+7Xnk66qXu/EqpBOT\nuKNDv7a06NiMk/sTAQiKDGTwhMtK9UtPzHQ6MADVLsg4XRsaiHWLlgRClJfRKakA6IgnW7yKjXYV\n7mtkNf7KQkClSFxOIeOLX7GjEuQUwQVQikdnOg7ir/zozBPTinRsfFWlsizVwcg/BCnvolWyEILi\nKb0wBL7kiOnYaYuOvYQoL6FTklGFEYEerZKPEFrM9ChWmq/YkRn5Gz9+wsBep7MyCkeeV2XQkVSN\nK/U+Eg8n8cb4j8lJz0On0zJmxgiunTrcbd+fXl/CyX2O36zdqrL/38NsWbKTayZdvMU/5UhM4haj\nn5GZC6ay4OXfKCowM3h8PzpfHluq34Abe7N58Q6ykx0yRSFRwVx2w6Wl+nkbvixzOjAAnZKOr/iT\nvAqcmJbjBCnvoVUyitsnsYsIdCShU045hHRFOooiipOEHcm5RtY4HRg4IvZ0nKzgKdOGHodkmJUO\nVOen4af87gy0UBQcaiPF7RBeIkN8TqAyF53iWPt0BJWYnbYaxXYMbHAbJn8+DsWUP0tFKiqKHYsa\ni0IeOiW5OPBOi6LYEULrjHYEUF0CNyz4swANaZgYWSyiXD/Jzypg3lM/kJ9ZQOtLWnDjzGsqta71\nwb1zySoOr7fYVH5+4w8G3NSbkEaltUZN+a7vq2pXKcgurJkLqK9IJyYpi4BQfya/eWu5fVp2ac6U\n2RP589NVAFx93xW1Jhxcl9hphBAapz6iEAp2KhZENbLZ6cAAtEoBQXyOhkwUxY5d+GMR3Rx5WKIz\nhdyKL4vwU351OY4qjAihFOdP9cM1kVoANkKVx9CzD3CUnMkSb1AybL7ylKjqfV5TSyZa0qBE5WvX\n/ioaUVDm6w7sGBX3ofaOwJWbKRTj8RFLUQnBShc0IgUFC4HMQ6EQO6HkiP84jxeqzMTAThRF4CP+\nLa7aXf8eolRV5e07PuXodofKyeFNR7GYLEz87w0V7pud4qowb7ep7P77AANvKR0QNOzOgRzYcMT5\nUBnVJpK4a0qmcUg8jXRi9YzOl8e6HaV5MyZGY2Q9BrEXEFjpTCE3VriflTaowlEdGnCMIihwjiS0\nSgF2LGSJl537+CpL0CrnHICjuKMOP83f+Ih1mLmMHPEcRtYQoMxFwYxAh45T54IfxC78+NEZwVhV\n8sVt6DhRHFShuNTzUgnEThhFYgh6jqBR8otHSjoUxbG+ZxWtMNO/grMISj42q8IPC93IFxOx4wha\ncJ1CdaQOmMWQ4lIv/px1uDqOoeeA01atkoEfP2IRVXdiGjKrJAJdVXLT812Ub2xWu7MwbEUEhgdQ\nmGtythVFIaqN+weqtr1aMfWjO/nri9Vo9VpuenIUQeEXX8rB+cjpREmNknwslSUfr0Rv0DH24au8\n+AekI1u8jo6jgCjWDqx4vcdKHCZxNUbWoqBipS064tFw/pSO6xSSgsmlLdCiKXZqGsWhaKFjH4HK\nJ+gU9+tBiiLQiKqvRWrIKA7UaESmeBMfsQaVYHxYVjz6MpIn7gZ8MDEaVQTiw2pUEY6Jy/DnN4Qw\nks8Ut0K8Brbgq/yOED7kcx9mcSkalqNRilBFIPni1vPWDMu3tHT+1zndyurgw1KHAgqZjmKd4mEs\nXFjZ+bLwDfRB7+M6StYbKzdqfurnB3lq6CzysgrQajXEXd2ddnFlrx+27x1D+94xZb5+0SGdWNXJ\nz89n9uzZpKWlERkZyYwZMwgIKH2zvuWWW2jRwvF0GRERwcyZM+va1Dol6WgKb078xPnEeXDjUZ76\n6UH8Q/wq2LO+oqlUIEdJ8phGvrgbsCMIIJB30bAUjWLCLsIoEDeXOIvrmoVr9CKAFT9+RkOqy9bz\nC0LaRSNMVC3MXMtRQpVn0ClnUIUBMwPJEU8DYBKjcUROGjnfUZgZglkMwcB6gpX3HMnLShRCGIEi\nNOQVVwTQYmALwcqrjpItCujFETLF+1hFZ/TiAGb6YKlw9FY2NtpgoRtGsbV4qrYR+eK2Kh5F4K/M\nPy+A5wwBfEGmqFknZvQ1cOXkQfz5ySoKsgsJaxbKhEpMJQIERwbxztb/cvpQEj7+RqLayCRnF6QT\nqzqLFi2ia9eujB07lkWLFrFo0SImTixdbsJgMPDGG2+4OcLFyZKPVrpMmSQeSmL9L1sZftdAD1rl\nGc6vgpzHQxSJfujFMcz0xu4ShScoPZoQqMIPjVJY3DLiq6x2CW4QQsEiWqHnFI4ClCGoVO3mFqh8\njk45A4BGsWAUmxyBKJzNRXIfyq1gIkj5EJ3iiILTkUQoD6MhD4UiVCLJEq/iq/zurDkGoFcS0Isd\nFDGSIkZWyVb3aMgWr+DLEjQinSKGYqdlFY9hR8G1fEnJdk0x4u7B9Bndk+yUHKLaNMLHv/IpEjqD\njlZdoyvuKPEKPJ65t2XLFgYNcuRBDRo0iC1btnjYovqBOxX8A/8eQYjzQ/BV4rcd58jWY9htJXXv\nLl6s9KaQcSUcGDiKOZaYXlTAIjpiEkMpVK/mbJTeWVRhpIh+aJVcNEoRGsWCQTlMILOrZJNSSnfQ\nioLZbd/z0ZCBBtdgAz0J6JQktEoWeuUwQcpblMwzE0LnkqRcM2gxMZoCJl2AAwPQYeNcArEQGqyi\n7Hpd1SWkURCtukZXyYFJykcR1fvzBB4fieXk5BAa6pDTCQkJIScnx20/q9XK448/jlarZcyYMfTu\n3dttvxUrVrBixQoAZs2aRUREabWD2kan01X7vJNfnsiRLQnOyrLgKCHx16drmPD0DdisNp4d9Rr7\nNxxGCOjQpy0vLX680msDtUFNXHe1KXoMUfiE06kIjOgDRiN8bgA1E03ODa5TJvrO6P0eRpvrOnXm\nY8jFEFS5a9HpdCgBNyAK41FEVvHGWEKC4kCp4PMQgSg54aDmndtWYjBp1JmxB76MyE1AUY8i0CMM\nlxEcMBwUzz2Huv28xUeoBa+CmozQxmDwe4QIxeO3mRqlXnzPaws5neieF198kezs0sra48aNc2kr\nilJmUcePPvqIsLAwUlJS+O9//0uLFi2IiiotPDts2DCGDRvmbKen152q+lkiIiKqf14tTHrzVl69\n6X2sRY61GovJyvYVuxlx3yCWzVnN7jUHnGVd9q47yDev/Mioae4TN+uCGrnuatObACbgo/wNCMwi\njrz8gZDvsCuIHvgo/6BRLNhFGLmWMVgsfoQr4eiU04BjetFkaUpeJa8lIiKC9Ly+GHkEH2UFqggh\nX52CyHD/QFYSHY8RpLyPQhE2mqLjDHrleLEtWgqtLcnLVFB4FwNbHSkF5p5g9mwifNmf94Pn/jW5\nV9T3Zir7PU8/nclPbyxBtalc88BwWnSsueK3Z2natGaPqXihmn+dOLFnnnmmzNeCg4PJysoiNDSU\nrKwsgoLch+SGhTlK3jdu3JhOnTpx/Phxt07sYiKyRTgBIX7O5EwAvY/jI8tJzXGpS4aA7NTK3TQv\nBrQcJ1D5GAUrZtGXQs4FeOQziXxxV3HL9aEolycwi77oxHHMDHAq1meLxwniIxTMWEUb8nigyjaZ\nGYBZlJ+g7A4bnckUn5x3bacI4h0UirCKtuTxfwAIAjAzuMrHb+jsXrWfFfPWomg03PDY1cRvP86m\nX7ej0Wq4/pGraHdp5dRNqkJOWi6vj/+IlGMORZkjWxN45Ot7ada+SY2fq0bxPh/m+enEuLg4Vq9e\nzdixY1m9ejWXXlo6LyU/Px+j0Yheryc3N5dDhw4xZkxNC63WP4LCAxg4ri9/z19PYY6JyJbhTHjB\noUB++c192LhoOxmJjumr0CbBDBp/LjpNtTuSOAtzTVwytBP+wd4a1VgahbziSMBTAOjZjyKyi3Oi\ndM5eZe1t5opSq1U2upApPqoli6uGnWiyxFueNuOi4NCmo3zxyLfkpDmma+O3JWC32THlOpLEU46n\n8fTP0wlrGlKj5127cLPTgQFkJGax7IvVTHp9XDl7SS4EjzuxsWPHMnv2bFatWuUMsQc4evQoy5cv\n57777iMxMZHPPvsMjUaDqqqMHTuW5s29X8miMlz/6NVcfksfctPyaNo+yilY2iSmMVM/uYvf3vsL\nEFxz/1DndIWqqsy+8zP2rTuE3arStH0UM7+fSkijmk889QR6DqDltLOtUYoI4DuM7CJLvFELAQ+1\nhSCATzEo+xAYyBXTsNPK00bVO7JTcpg7cwGFuSaiOzZlwgvXV7qyw+pvNzgdGEB+pqsSSsbpLHb/\nc4DB4/vVqM2+gUbHc9R5IxtvCECRyc4XQGBgIM8+W7pIX0xMDDExjiTD2NhY3nqr4T6ZRkaHExkd\nXmp7TI+WzJh7T6nte1cfdDowgDOHk1n48m9Mebd06oI3ohKJwB+F8/URBQb2ESDmkMc0D1pXeQKY\ni5/yMxrFEYYewnNkio9dnLAfCzEqmxAYyRMPYOfsGoiKD3+iJYkirnATqXlxoKoqs+/6nOO7HaPu\n+G0JqHaVO2fdUqn9A0sIBCgaEOcpfhn8DDRq4fhtmQvNZCXnENYkBINv9WrBDbylHxt+2Ub8tuMI\nVdCiczPGTB9RrWPWCdKJSeoDprwipwM7i8VcuvSLt2KjNSYx0pHTpLgqdGiU7Br5IerYTYAyHxAU\nihsxsBmDshfQkifuwUr1NfT0yj6nAwPQkoyWU9hwyI758jMBylznNWpJLHZyvoQoz2BkI4pix1cs\nJVc8gYVe1bapvpGblkfmmSxnW7ULZzWIynD9o1cRvy2B43tOo9VqiO0Xg9lk5fT+M2j1WnoM70yn\nAe3ZsWIv3z7/C/lZBQSFBzL57VtpX46SR0XojToeX/AAO5bvwWq203NEVzkSqyWkE7sI6TakE81i\nm5BYHJ4f3CiIYXdUPeCgPpPHA+g4hJE9zm1CaDCVWzOscmg5TqjyorMel4E9KFid2obBvEaG+NhZ\nQflCUUtISwkCixU6HBiVTS5OWscpdMSjEoKBXc58N52Sjj/fYREXnxPzC/LF6GeE80bdjnblMPoZ\neeLHBzm++xQ6g5aWXZojhCDtRAZ6o965FvbDq4tJPe6IOCzMMfHtc7/w/JJHqmW7zqDj0mt6VOsY\ndY50YpL6gG+gD48Xl36xFFkZdscAYvvWXtKppygpKSXwdY5iqoMvy50ODCg12tOSjJ74amsC5orp\nxaOvJARGCsV1qOep+zsEes+hEoBKCO7Ef73y7lMJDL4Grn1gOL+//xemvCJCo4K549WbqnQMnV5L\n216tnG1FUWjc+tz7rKoq5kLXUB+LqXaURiQ1j3Ritcjq7zey9LO/sVtstOzanPvev73SC9LVJSgi\nkHtmT6iTc3kKO42BA+e1I4tv8tU9bqRL3S0hXMupqISctzZ14QhCyBQfoiENQUApUd5c8SBaTqHj\nFAIfTGJ4sYyVioVOxTqHolhD8rpq21NfGTy+H72v7U5eRj7hzULRGdzfts7EJzPv8R8wFRTRpE0j\nJr81HoNPxcn/Go2GRi0jXGTeGqqmopxOlDhJO5XBz2/8QXZKjrP9Y/Ml3PLUaA9bdvGQK/6DgqV4\nJONHjphBZdTxK8LEtcWlY/bgKB0TC0JBx2kEegrF6BpxYg60qLjPdzzr5HScQCXwvH4assWr+LMQ\nrUiikBHY6FJD9tRP/IJ88QvyLfN1u83OR/fN49RBh37liT2n0eq1THmncsFM0z6bxNyZC8hOySGy\nRTh3vHpzxTtdjEgnJjlL4uEUpwMDx4L0mSPJHrToHDaLjU2Ld2AxWel9bXevzSET+JEtXqmFI+vI\nFrPQcQxH6Zg2gBaFfARGLrxY5oVgKEP9X0dBpcquNAxyUvPITnPVoEw+llpG79L4Bfky9eM7a9gq\n70OOxCROojtEERoV7FTb0Og0NO9Q87IzVcVmsfHauA85vOUYCFgxdw2PL3yAwDBvrVVWW2iw4bqO\nWLoGl2TrH7vYsWIvrbpEM+yuy8uUjattAsL88Q30IS/jXACItz6cSaqGx1XsL1bCm4Vx85Ojie7Y\nlCZtG9NndE9ueKxqNapqgsJcE/v/PewUEt6waJvTgQGcPpjET2/8Ued2SbyfH978jS8e/Y51Czfz\n/UuL+Oyhbzxmi8FHzy1PjiaqTSShUcG0vqQFk9+8sMrcDRohqvfnAeRIrBbpf30c/a+v2YKAVSHl\neBqz7/yc5GOp+AT4cNn1cTSJaVRq3vuswPDFgUAhBzC61CGT1Dzrft6MKdcRuWmz2Dm4KR5LkbVS\nwRS1QdzVl9BzRFeKCsz4Bvp4bFTozXjjdKIciV3EfPv8LyTFpyBUgSnXxKbfttO2V2uatmvs7BPe\nLJQRU4Z40MqapIhQ5WEilElEKHfgz5dl9lTIw4e/MLAeUMvsJymbkk5CURQ0Gs86Do1Wg1+Qr3Rg\nF4qo5p8HkCOxixibxTWPymyyggIzFzzAT28swWq2cfV5moveTiAfY1R2ONt+LKJIXFFKj1BDKqHK\nY+iVEwihxcylxQEi8pmuKoycNITk46nkZeRj9DfQY3iXMsPf6ysZZ7JYMXctPt+bW+kAACAASURB\nVP5GRtwz2CtUNWoTxQuf57zrGyepEj2u7MLRHScw5TkUuxUFvnzsO5q1b8KkN25Fb6z8x38mPpn4\nrcdpdUk0LTo2qy2TLwg/FuKjrECHqxyRVslFKxJLObFA5TP0ygkAFMWOUWzFwPZqJy83NEZOvoKQ\n5kHs/mc/rbpG0/PKrp42qUqkHE/jzQmfkHrCodSxY/kenvjxQYzV1E2U1C3SiV3EDLtzIFq9jh3L\n9nB4yzFMeUWc2JvIib2JaPUa7n6rcsnQq7/fyE+vLSYnLY+AMH9GPTCckfVkCtLAZgKUr9EoDqXy\n8xOTbSIKGx3c7OWqxqAoNhAmN/3qHl8W4av8gYKgSFxOAbd72qRyadurlYsaRlUpKjCTFJ9CcGRQ\njZdDqYhf31nmdGAACbtOsWXxTgbc5L5qfIPAC9fEpBO7yBkyoT/dBnfg2avedNmeFF/5HJrlX652\nlrPIzyzg7/nr640TM7LR6cDA4cDsIgw7zcgTd6NSWv3fJMZiYC9axaHQYBVtsNYD8VwdewlQ5qJV\nitMyOINNtLhoC2GeOZLM+1O+JO1kBn7BfgyfNJBRD3iuMrlEBnZIKuDIlmO8M+lz3pn0Ocd2nqyz\n8waGBZRSO/APqXwOjWpznShPP53JvCcXYrfZa8S+6mClA6rwcbZV4UOuuJ8sMQuVYBQKS+1joSfZ\n4hlMYgiF6lVkirfrRQ0yI5udDgxAqxRgZKMHLapdvnnuZ84cScFqtpGTmsuqr9ZRkFP686otxkwf\nQaOW5x5yWl8SzaXXVr86gVcjQ+wlZXHq4Bk+/L95ZCVlA3ByXyKPfXs/TWIal+pryi/iixnzSU/M\nIiDUn3tmT6hWQUuDr4EbZ17LT68vwVxoITQqmElvVD6HJrZvDKkn0rGaHYEiNrONf+avR6ii0nWd\naosihqMXezCyBQCzuBSBH+HKPWjIQSWUHPEwVnq67GelBzmicgrjRlbgq6xGFUHkcX+tJT07HLKv\nU3BYFQasbqdDvR9VVclIzHTZZjFZKcwx1VmScuNWkcxc+IAzsGPklCENfj3MG0di0onVEau/3eB0\nYOAoV752wSZufrK0luIn075i5/J9zvb798zhmV9nVOv8fUb14NKrL8GUV4RfcNVCkG9/+SYCQv35\n4+OV2CyO0Vdl6jqpdhVFo9RyuLNCHo+QJ85GYuoIV+5Cpzg09DQUEMQnZIjPLujoPvxBkPIRGiUf\nFNCJo2SK96kN6SkL/SkU1+LDOkDFInpgYkyNn8fT2Kx2Xr3xPZKPprlsD2lc9+tiEc3CGPf0xfce\nNySkE6sjgiMDXcqVKxqF4Ej3o6vz1bQBslJysFnt6PTVE7fVaDVVmkY8i6IojHpgOBt+2UbayQzn\n9rLqOgkh+OLhbzm06SiKRqHvmJ7c8Ng1F2x35Tj7VRYouJbVKNmuCr7KKocDc57lODqOl6FnWH3y\nmUq+uA/HF+Xi/HmumLuG+O3HS23vfHlsnVV5kJSBF47E5JpYHTFyyhXE9o5Bp9eiM+jo0K8tQ8so\nVOkb4OPS9vE3VtuBVRdHXadhhDYJxi/Yl+YdmpRZ1+mvL/5h42/bSTuZQerxdFbMXcv+9UfqyFIF\nO+dSAIQAK9EXfDRRwpEIDHWgBKLlYnVg4FhTdXezjIwuHYRTkqICM+9M+pwnh87iv6Pf5uS+07Vg\nYcNFEdX78wQX7y+lnqE36pi5YCpHd5xAUSCmRys0WvfPEHe9Po6Pp84jNyMfvyAfJrxwfR1bW5qi\nAjPrFm6mqMCMVqelba/WRLV2X3MpYfcpbOZzidaFuSaO7ThBp/61M3opSbZ4gUAxG62Sil00JZfp\nF3ysPHGvo6KykogqfDCLAdhpXoPWNjwuu7E3mxfvICf1XFRp60taMGRi/wr3nfPod+z4a6+z/cmD\nX/PSXzPL/C1JqoiHgjOqg3RidYhWp6X9pW3KfH3By7+ya+V+FI3CZTdeysBb+uIX5FsvfqALXvqV\nI1sTnO2Ni7Zx+bg+tO3RqlTfTgPas33ZXme13MDwADpdVjcODBwlWnJ5qkamRuy0JkN8iEHsRCUS\nK52rf9AGTutu0dz99gT+/PRvCnMK6DemF8MnD6rUVGL66QyXdl5GPrnpeYQ0Dq4tcyX1HOnE6glr\nF25i5bx/nTf+JR+uJKZHK9r3bsPahZtI2HWS7sM6021IJ4/Yl5Oe59IuKjCTcSrTrRMbeEtfko+l\nsXuVwyEPntCfNt1b1pGlNY8g5KLN1fIU3QZ3pNvgjlXeLygs0KXtF+xHgCwjVGPI6ETJBXNg/RGn\nAwPIzyrgwPojrPtxMxt+2Ya1yMrGX7cz+qErGXlP3Sca97yyC/vXHXZKWEW2CCe2b9sy+9/8xChu\nfmJUXZknaSBMfns8798zh8wz2Rj9jYx/bqzH14svKqQTk1wo7Xq1ZsuSnVhMjrIoPgFG2vRowZrv\nNzpLpRRkF7Lh520ecWIDbupDYV4R25fuRqPTcuPMa6uVuyaRXAhB4QE89fND2G12GclYC8iRmOSC\nGTyxPwc3xrPlj13YrXaEKojferxUv7qoMLH59x0c3BhPmx6t6H9dL+ea3JWTBnHlpEG1b4BEUgEl\nHdj+dYfY/tdeWnZpzoCbestSLBeK6n1eTDqxeoKiKBTkmLBbHcnE5kILa77fSKfLY9m6ZCfmQgsB\nof5cduOltWrH/Od+ZtVX67BZ7ayct46Fr/7GKyseJyDUv1bPK5GY8ov45IGvSDuViV+gD3e9Po5m\n7aMq3G/F3DX88vZS8rMK0PvoObz5mKzq3ICQTqweYSlyVVc3F1oY9cAwug6MJWH3KboP7USnAbG1\ndn5VVdm2dDc26zlNxJyUXD6a+j/+8+3UWjuvRALwxYz57FxxTqnm46nzePGv/1Q4qlr342byswoA\nR5Xy7X/tIeztEHqO6EbLzvWrbFC9x/sGYtKJ1Sc69GtHws6TWIrXwBq1jCCyRQRNYhrT77q6qXVl\nt5YW9U3YdapOzi1p2KQnZrm0U06kU5BdWOVZgPzMAha9vZS/v/6X8c9fR98xnq9Q4C1445qY5xOQ\nJE6ue3gk104bTpeBsfS+tjuPfH1vnUZeaTQaOrrJ5ypLXkoiqUnMha4zERaThSNbj1W434Cb+7h1\ndDlpeSz/cm2N2dcgkCr2kuqgKApjHhpRavvKeWvZsXwfRj89E56/nrCmobVmw5R3J3J48zEyip+K\nNVqFPqMrp/YukZREtav88OrvHN9zioDwAO4oFpN2R3THJiTFp5zbIOD4ntP0GF5+xehhd1xO05hG\nbF68i02/b6cw51yBU6Gq5ewpKUltj8R27tzJ3LlzUVWVoUOHMnbsWJfXFy9ezMqVK9FqtQQFBXH/\n/fcTGRlZ7jGlE6vnrJy3jh9mLXbmZyUfTePZ32fU2uhIo9Hw0vKZfP3Mj+Sl59P20tZuHWtJMs9k\nse7bLWj9NPQZ3QONRg7yJfDNsz/xz/z12Itr0mUmZvH0oulu17niru7Onn8OOr/rgWH+dB1UuYTo\nTgNi6TQgltyMPHYu34vdpuIX5EvvUfIBrL6gqipz5szh6aefJjw8nCeeeIK4uDiaNz8n49aqVStm\nzZqF0Wjkr7/+4ptvvmHGjPIreEgnVs/ZuWKv80cNkHQ0lVMHztC2V+taO6dfkC/3vntbpfufPniG\ndyZ/QdqJDLR6LRsXbeOhL+92cWRCCFZ9/S/xWxOI7RPDoPH9ZBh0AyBh9ymnAwNIO5VJflYBgW5U\nNvqM6kHysVS2/rEbjQYG3dqftr1aVel8D3xyF398sorEw0n0GtGNuKsvqe4lNCxqcSQWHx9PVFQU\njRs7aij279+fLVu2uDixLl26OP9v164da9dWPB0snVg9x+jnWqTPN8DoUk5Ftats+HUbuWl59Bnd\nk7AmdVuPCeCnN/4g7YRD085utbN/3WGO7z7lIjX19dM/snbhJiwmK9uW7ibxSAoTnr+uzm2V1C16\no+stxuCjx8ffp4zeMOahEZUa+ZeFRqvh2qnDLnj/ho5Si+tamZmZhIefq1QQHh7OkSNlV7dYtWoV\n3btXXGlbOrF6zsT/3kDysTSS4lMwBhjpOzbOWQ1aVVXevv1T9q07jGpXWfnVOh6edy9N25auFl2b\nqHbXdQe7zY7NYnPZtm/tIacaibnQwt7VBwBXJyaE4Nd3l3FwfTwgMBdasFpshDcN5d73bsMvqLZL\noEhqApvFhrnQgl+wLxNfuJ6P/m8eGUnZBAT7MXLKkFKOTVKPqIElxMcff9z5/7Bhwxg2rOoPFWvW\nrOHYsWM8//zzFfaV36Z6TkjjYJ75bQanD5zBP8SPqDbnyp/EbzvOgQ3xTieSdiKDn15fwrTPJtWp\njcPuupyE3SedpTVadWtRWvC3xNShoik9lfj7+8tZ/MEKp8zWWU7tP8NnD33D9Ln31Kzhkhpn5by1\n/Pnp31jNNiJbhDHjf1N44sdpHPj3CE1jm9CiY1NPmyipZWbNmuV2e1hYGBkZ56oQZGRkEBYWVqrf\n7t27+eWXX3j++efR6yuuoC6dmBdg9DUQ07NVqe02i83tKKiu6TqoI1M/uYuNP23H4K/jukeuRmdw\n/WpddkMcSz/9h4IcR97P5Tf3KXWcgxviSzmws2SUyCFqSGz/aw+/vrMMu81O256tuP2Vm+pl4Ex2\nai6LP1hBZlK2o52SwyfTHAocGYlZ+Af5MnLKEEZOKa39acor4s9PV1JUaOHKyYOIaFb65iapfWpz\nOjEmJoakpCRSU1MJCwtj/fr1PPjggy59EhIS+Pzzz3nyyScJDq5ceR3pxLyYdnFtaNW1Ocd2ngQg\npHEQI+72jLZhbO8YLru6D+np6W5fH/3gCNr3juHwlgQ69I1xW1fNJ6DsiMvz1wEbElnJOXz9zE9k\nFjvxpCOpBEcGcd0jV3nYstJkJWWTl5Xvsi1+23FnyLul0MLyL9cweEJ/fPzPfdZFBWZevfl9Tuxx\nVGnesWwvj317P41aRtSd8RIHtRjYodVqmTRpEi+//DKqqjJkyBCio6NZsGABMTExxMXF8c0331BU\nVMTbb78NQEREBDNnziz3uNKJeTF6o47/fD+VRW//SX5mIUNuu6zK0Vx1SYe+belQTvmW21+6kbQT\nGaSdSker06IoCnqjnuDIQCa/3TC18E7uT3Q6MACb1ca/P23hmqnDMPiUPdVit9nZvHgnBdmF9B7V\ng6Dw2q+5FdWmEeFNQ0k+lgaAVqfB4KN3ydsymywU5phcnNim37Y7HRhA6ol0fn1nGffMnlDrNktK\nUMsJyz179qRnz54u22655Rbn/88880yVjymdmJfjG+DDrc9eHFF+IY2Defb3h0k5nkZAqD/BkYFY\nzbZyb9bezKpv/mXnX3vxCfBh4n+vJygisFSfJjGNCIoMJDftXFHStJMZvHXbJ8xcMNXttKJqV3nr\ntk84sP4Iql2wfO4aHpt/PxHNa3eKzjfQh/s+uINvn/8Zq9lG60ui0el1rPxqnVPOLDI6jJCoEiV8\n3GRauFszldQ+3ig7JZ2YpF6hN+poHtvE2a7IgQkhSD3umMJs1CrCa3LPVs5b65LEnhSfwjO/zSh1\nvY1aRjBq2nAWvvK7y3rhqf1nSDuRQePWpdUM9q49VBzw47gjJR9N5YdZi7n/g9svyFaLycKCV34j\nKzmHroM6MmRi/zL7tu4WzVM/P+Rsq6qKwVfPsR0n8Q/14w4363l9x/Ti76//dWp0Nm4dydgZIy/I\nVknDQzoxidei2lXenfyFU1+vXVwbHppzt7P+WX1m+18lk9hTSDyUROtLWpTqe+WkQWxftocD/57L\nqdHoNOiN7h28tciKaisR8GO1ue17PrnpeXz+8LfkZeYT0TyMyW/eio+/kbfv+IwD6x3n3rfmEPlZ\n+YyadmWlrlOj0XDT4+VX+Db6Gnh84TSWf7maokILQ28f4JF8Rwke0z+sDvX/1y6RlMGqr/9l998H\nKMg2UZBtYvc/B1j51TpPm1UpSo64jP5G/ILLDl65/pGrCG/u0Mw0+BroPrQzYU3d3+i7DIylZZdz\nJUhCo4IZcffgCm167+457F61n4SdJ9myeCefTvua7JRcEg8nO/sUFZjZtWp/hcdSVRWruWLHeRYf\nfyOjpl3JTTOvlQ7Mgyhq9f48gRyJSbyWlONpLikGqk11Ti3Wd8Y/fx0pCY4kdp9AH/qO7knjVmVH\n47XvHcOTPz7I7lX7iWwRTpdBHcrsq9XriOnRivysAgw+Bia9MY52bqJBz8dmtZOZnO2yLfVkBgYf\nPVqd67NuReH9f32xmuX/W4PNYqdZ+yge/GLyRbuuedHhhSMx6cQkpSjIKeSXt/7ElFfEsLsG0rpb\ntKdNIvVkOv+buYDCvCKatm3MXa+No991cWz+bQfZqbkABDcKot/1dVN3rbpERofzzG8zOLHnNEER\nATRtV3EF44jmYVxx+4AK+3067Su2/LELoQoUjcKyL1bTvndMufvo9Fp8SohKn5U46zOmF6u/XY8p\nr4iI5qHc8J9ryjxO2skMFn+4nJziQJTMM1l8/+Kv3P7yjRXaLZFcCNKJSVwwmyy8Nu5DZ8jzvnWH\neODTSbR1k2x9PnmZ+Xw45X+kn8kgrEkId789Ad/AsjXyqoKqqrx/95ec3J8IQEJxXtyUdyZy1+u3\nsOyL1QBcOXkQbdysKdU0aacy2LvmEE1iGpWbMlARvgE+dOh34fuXxcn9ZxCq44laqIJTB89Uar8J\nL1zP10//SGGeicDQAO58zRH6fOszY+g7pgfJCWnE9o4pd7ovJSHN6cDOkn46o4zeknqH9w3EpBOT\nuLJ39UGXnJ2spByWfvo3D3x6V7n7vX/PlxzadBSAYztPYjHbeOSre6t8/swz2eRl5tMkphEGX4f4\ncW56PtlpuS79ko466k51H9aF7sO6lDpObbH/38N8PmM+mWeyMfobufym3sz45L46O39l0JXQJtTr\nK/cz73x5LC+vfNypMn9+gEzrbi1o3a3iB4TmHZsS0TyM9NOZDlv0ukrtJ6kf1KZiR20hnZjEBb1B\nh0arcVlr0ujKXwNRVZXEI8ku29JPlf/0vX3ZHhbNXorNYqPVJdHc/eZ4fn1nKX/P34Apv4hGLcKZ\nMW8KEc3CCAjxw8ff6JIr5RfoGTHgRbOXkXnGsXZkLjCz9c/d5KTnVbBX3TL6wStZ8NKvZCZlExoV\nzLXThld6X61OS3BkUMUdyyCkURB3vHozv7z1Jzarjba9WjFmxoWr0kvqGOnEJN5O54GxxPZty6GN\njkTZxq0juXFm2WsgAH9+vIqC7EKXbecrMpQkOyWHb579yamHmHQsFR8/I9uW7ianeH3r9MEkvn7q\nR2b8bwo6g44bZ17LT68vpqjATEijIO56Y1w1r/TCKFkp2G6zYy2yQM3MnNYIfUb1ILZ3G5KPpRHV\nJpKQxpXToCvJ2gUb+fOzv7FbVVpfEs2UdyZWKn2h25COdBtSuWKWknqGFxbClk5M4oJWp+XRb+5j\nwy9bKcwx0XdszwqfzLct2+1cgwFHTaebnxxdZv8z8SlknDknpaTaVE4dSKQo3+zSz1xocf7fZ1QP\neo3sRmFOIYHhAZVOahZCXFACtCmviPnP/Uxueh6xfdty9f1XoCgKva7qxumDZyjMLQIFojs2JbyZ\nqzp3fSCkcfAFOy9wBGj8+PoSslMcDxWpJ9OJaB7GjTOvrSkTJZIaQToxSSl0eq1blfmyKOkkQhoH\n0aZ72esgjVtHEto4mKzknOIDQPMOTSnKN3NyvyMIQe+jp0N/R9BD+ulMslNyadY+yq00kzsKcgr5\nYMqXpJ/OwsffyPgXrqNjv3aV2ldVVd66/ROObEkAYP/6I5jyTNw481pG3jOEoPBAdizfS3jTEG74\nz7VeoxJSFfb9e8jpwMDxoHH6UJIHLZLUBXJNTNIgGTllCN88+xPZKbn4+BvpddUlLP3sHzb+ug2h\nCroO6ciE56939g9vGsp1j1zFn5+swma10Sy2KeOfu578rAK+euoHigrMdOjXltEPXsmv7yxjxby1\nFGQV0qhlOA98NslFlqos5jzyHfvPU7iY9/hCXlo+s1SJGHdkp+Q6RWzBoYBxYEO8s93/+jj6e0ko\n/1lST6Yz55HvKMwxEd48lHvfvc1t9Oj2ZXvYvnwPO5fvc9mu1Wkq9b5LvBzpxCQNkUuv6U6z9lEk\nbD1FSHQwQgg+vHcuhbkO9fLMpGxadGrmMrobdGs/Bt3aD1VVncmzoVHBPDTnbmefguxC/pm/3hnQ\nkXQ0lW+f/5n/fDe1QpuyU3Nc2vnZheSk5xHeNLTCfX38jaWqD+v02gr3qwyWIisLXvqVtFOZtL4k\nmjHTR9R6bbCzn8fx4qjTk/sT+Wz6Ny7vNcBPb/7B8jmrXeSwztK0fRTXP3p1rdopqQd4oROTslOS\nGqFpuyjGTLuKzgPac2jTUacDA8fa1sGN8W73K+8GXphrwlKiSGZlpYzCSjgrhyp+5aLu/IJ8GTiu\nH4FhASgahcatIhj3zNhK7VsR7909hxX/W8uulfv4/f3lfP30jzVy3PIwF1rISXet83U2BP58ti7Z\n6daBgWP06Q2alJJqolbzzwN4fCS2YcMGfvjhBxITE3nllVeIiXGvLLBz507mzp2LqqoMHTqUsWNr\n5qYiqXk69I1hRZCv05EZ/QyVXo86n/BmoTRqGU5+VgHg0BuM7VO+8gQ4ghI6D2hPdnI2+VmFGP2N\n3PbiDVUaTV338Ej6X9eLjKQsWnRsRkCof5XtL4mlyOqSimC32onfdrxKx8hOyWHekz9QlG8mtk8b\nxswYWeGanNHPgG+AkfNrY/sFlU5RKOshvGWX5gyZeFmV7JRI6gqPO7Ho6GgeffRRPvvsszL7qKrK\nnDlzePrppwkPD+eJJ54gLi6O5s2b16GlksrSeUAsV903hA2/bEMIR8j1gJt6V/k4Gq2GR76+j6+f\n/pH87EJi+7SpUD19y5KdzH/uZ7KScwgI8WPElCGMfrByiusladw60m2pk8qQsPskiYeS6di/LeHN\nHHW8dAZtKUeq1VXesdosNt667VOnckn8tgRU4RAHLg9FUbj95Zv46qkfKcovIigykLvfHl+qX9xV\n3Vg+dw1F+WaM/gZadW1Bj2GdGDzxMnwD6lEOgaTWkIEdF0BlHFF8fDxRUVE0btwYgP79+7Nlyxbp\nxOoxox8cwegHq5/kGhDqz/0f3lHp/ks+WuGMeszPLmTtgo1cO3VYnU6F/TBrMSu/Wocp10RY0xDu\nem0c3YZ0RKPRMPzOgU5twYjmYVVaZ0o5nk7aeUnkliIrh8qYpi1Jx/7teGXV41hMFox+7nP4bpx5\nLS27NufA+iN06NuW3tf2qLRtkosE6cRqh8zMTMLDw53t8PBwjhw54rbvihUrWLFiBQCzZs0iIqJs\nZfDaQqfTeeS8nsbT12232TEXuK6hIRRCQ0Ld1t4ymyx89+ovZCVnM2LSEDr1bX9B5z3/us0mC5t+\n3Y7pbFDLmWz++GgVV9x0OQDjH7+BITdfzpmjybTu2oKwqMqXHdHa9fgF+rqsWwWGBJT7nv85ZxV/\nfLoc1S7oPrQLd782odzpx6tuH8ZVtw+rlD2e/rw9xUV93dKJuefFF18kOzu71PZx48Zx6aWX1ui5\nhg0bxrBh536E6el1X5ojIiLCI+f1NJ68bkuRlTcnfEzSsRTnNo1WoVmHKHLycqCEMpTdZmfWTR9w\neIujoOaWpTu4+60JF6Q0cf51F2QXYrW4OlJzkdnlfdEHaWjZoykqtqq9X1oYNL4fq75ehymviMgW\n4Yx7bkyZxzh1IJGvnltIbrEs1pljKWRn5NDpsnZcMrRzuaoqlUF+zz1P06ZNPW2Cx6kTJ/bMM89U\na/+wMFdFhIyMDMLCwqprluQiYtnn/3Bo81EXFe4O/drxwKeT3PY/sfc0CbtPOts5qXksn7um2nJJ\n/iF+RHds5igPI8DoZ6Tb4JqTYBozfQQDx/UlLzOfqNaRTpFkdxzceNTpwAAsJgv/zF/PP/PX06JT\nM2YumFojASuSiwgvHIl5RcxsTEwMSUlJpKamYrPZWL9+PXFx3pVsKqldctJyS5WRaNU1Gp1eS8rx\ndNYu3OQMiABHQEXJ8H6NpmaUN6Z/eTdXTRlC3NWXcMvTo7mugsCLs2ScyeLjB77igylfcnCD++ly\ncOTTtejUrFwHBtCme0v8Q9wLJZ/cn8jPb/5RKbskDQgZYl91Nm/ezJdffklubi6zZs2iVatWPPXU\nU2RmZvLpp5/yxBNPoNVqmTRpEi+//DKqqjJkyBCioz1fqFHiHiEE6aczsVvtNGoVUevJvOCYZtu2\ndLdTYT68aSgDx/Vh46/b+O6/i8hOyXWJVmzRuRkd+rdl7+qD2G0q4c1Due7hyjmbitAZdFXOK8vP\nKuCN8R+RFJ8KwJGtCfzfJ3cSW0Exy/KI6dGSkVOuYN3CTRTkFJKf5SrSXFRgLmNPSUPFG6MTFSG8\n0OoqcOZM5QoC1iT1ac68LomIiCAtLY2PH/iKfWsPIeyCVt2a8/C8eysl91RdjmxNYMlHK1AUGDVt\nBG26t+C5q95wKlUAhDcN4c2Nz6HROMrNrP95C1nJufQZ3YNGLS9ssb4mPu81329kzqPfuWzrO6Zn\nlSIzy0IIQU56Hq/e+D7JRx1OMrRJCNPn3E0rN1W7Kyua3JC/5/Xlumt6Teyqjk9Ua/8/D7xaQ5ZU\nHo+PxCQXF1uW7GL70t1OZY196w7z23vLuP7R8su51ATt4loz/ct7XLaVVKbITs3DYrLi429Eo9Uw\n4KbKCx3XJn4hfmh0GlTbuTkZYzUDL86iKAohkUH857v/44dZi7Fb7Vx17xWlHJjNYuOjqfM4feAM\nOoOOa6YO47IbajbwSiKpaaQTk9QoqcfTXKWhBKSfzip7h1qm1AhQgdz0vGpH5tU0PYd3ofOA9uxf\ndxi7TSW6U1NufmJUjZ4jvGko9713W5mvf//Sr2xbutu5tvjja4vp2L8d363h7gAABahJREFUYU0q\nnwYg8XJU75uYk05MUqPEXX0JK79a51ybCgz3p58HFd9bdm5Odsp+Zzs0KpjA8ACP2VMWGq2Gh7+6\nl/3rDmMutND58tg6d7QpCWkuwTFZyTmkJKRJJ9aQ8MLVJenEJDVKVJtGTHlnAr+9txyhCgaO60vX\ngR08Zs+kN29l9p2fkZWcjdHXyJjpV9ZbCSWNRkMXD75XTdtFsXfNQVS740YW1iSEJjGNPGaPxANI\nJyaRQMf+7enY/8LUL2qakEZBPL/kEfIy8vEL8q2TABNv5eYnR5GVksPJfYnoDFrGPDSiWtWhJV6I\ndGISSf1DUZRKV4RuyGh1Wv6vBqIhJZK6RDoxiUQikTiQgR0SicRbOLbzBN888xNmk4WoNo24992J\nFaqASC5yhIdkN6qBdGISSQPEUmTls+nzSYp3CCafPpiEj7+Re2ZP8LBlEo/ihWtiXqGdKJFcTORl\n5rP77/0kHk6uuHMtkZWU7SIODJByon6oUEgkVUGOxCSSOuTYrpN8PHUeqcfT8Q/xY8jE/tz0eM0m\nNVeGkMZB+If4UZB9Tk8xuB7mz0nqGC9cE5MjMYmkDln4ym+kHj9Xe+zfH7eQn1VQ53YY/YyMe3oM\nTds1Jrx5KLF9Y5j0xq11boekniFE9f48gByJSSR1iN1qd2lbLTbMhWaP1PXqNbIbPUd0xW5T0em1\ndX5+ST1ErolJJJLy6DIwFqPfuQjAJm0aEepBWSdFUaQDk5xDjsQkEkl5jH5oBL6Bvuxbd4ig8EDG\nP39dndRbk0guVqQTk0jqEEVRuHLyIK6cPMjTpkgkpVFlnphEIpFIvBUvXBOTTkwiqQESDycRv/04\nMT1a0Ty2iafNkUguDOnEJJKGx+JPljP/xR/JzcgnMDyAMdNHMPyugZ42SyKpOjJPTCJpePzx2Qpy\nM/IByMvIZ9XX/3rYIomk4SBHYhJJNbHbXRfDVZu9jJ4SSf1GeKEAsByJSSTVpFO/9ugMjlwrnV5H\nu7g2HrZIIrlAVFG9Pw8gR2ISSTWZ9tFkgqICOLHnFC06N+faB4Z52iSJ5MKQgR0SScNDo9Ew6oHh\nnjZDImmQSCcmkUgkEgcy2VkikUgkXoucTpRIJBKJtyLkSEwikUgkXosXjsRkiL1EIpFIvBY5EpNI\nJBKJAy+UnZJOTCKRSCQOvFCxQzoxiUQikQAg5EhMIpFIJF5LLY/Edu7cydy5c1FVlaFDhzJ27FiX\n161WKx988AHHjh0jMDCQ6dOn06hRo3KPKQM7JBKJRFLrqKrKnDlzePLJJ5k9ezb//vsvp0+fdumz\natUq/P39ef/997nmmmuYP39+hceVTkwikUgkgGM6sTp/5REfH09UVBSNGzdGp9PRv39/tmzZ4tJn\n69atDB48GIC+ffuyd+9eRAVh/9KJSSQSicSBUKv3Vw6ZmZmEh4c72+Hh4WRmZpbZR6vV4ufnR15e\nXrnHvejXxJo2bdqgzutp5HU3LOR1X1wsV3+o1v4mk4kXXnjB2R42bBjDhtVuVQc5EqsFJk+e7GkT\nPIK87oaFvG5JSXx9fZk1a5bz73wHFhYWRkZGhrOdkZFBWFiYy/7n97Hb7RQWFhIYGFjuOaUTqwX8\n/Pw8bYJHkNfdsJDXLakKMTExJCUlkZqais1mY/369cTFxbn06dWrF//88w8AGzdupHPnziiKUu5x\nL/rpRE/g7+/vaRM8grzuhoW8bklV0Gq1TJo0iZdffhlVVRkyZAjR0dEsWLCAmJgY4uLiuOKKK/jg\ngw+YNm0aAQEBTJ8+vcLjSidWC9T2HHB9RV53w0Jet6Sq9OzZk549e7psu+WWW5z/GwwGHn744Sod\nUxEVxS9KJBKJRFJPkWtiEolEIvFapBOTSCQSidcinZhEIpFIvBbpxCQSiUTitUgnJpFIJBKvRTox\niUQikXgt0olJJBKJxGv5f6w1mZUmgTIYAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1088e9c88>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "X, y = make_circles(noise=0.10, factor=0.5, n_samples=500)\n",
    "X_train, X_test, y_train, y_test = train_test_split(X, y)\n",
    "pd.DataFrame(X).plot.scatter(x=0, y=1, c=y, colormap=cmap, figsize=(7,6))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Random Forest can approximate data well:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.95999999999999996"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "rf = RandomForestClassifier(n_estimators=100)\n",
    "rf.fit(X_train, y_train)\n",
    "rf.score(X_test, y_test)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Logistic Regression can't:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.52800000000000002"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lr = LogisticRegression()\n",
    "lr.fit(X_train, y_train)\n",
    "lr.score(X_test, y_test)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Generating similar data"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Univariate KDE sampler doesn't catch structure of data well, but it still can be used to sample data locally.\n",
    "Multivariate KDE sampler learned to sample data in a circle.\n",
    "\n",
    "With small sigma values the neighborhood is too small (almost no examples of different classes).\n",
    "With large sigma values the neighborhood is too large (data separation is highly non-linear and hard to learn)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "doc = np.asarray([-0.3, 0.5])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x108aebe80>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x108baa198>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x108c4b0b8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x108c80c50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x108d25278>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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PzmFgRiZHGhsYlJFBYR/fA/hOpc5VDwIK8yrpZ3Owx5FLjbsZQQX5lo85K83BN02eJOrp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\nrgsyMKPARwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x108e518d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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WIeupk+3LzUANAi+SwDWj44lpmJ2yyJ6MwEAcit/bokWLOOOMM3A6nQBkZgbX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\nirighI1CoYgL/x+eHlpuvNgI1wAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x108e823c8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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kIzOdxNTgwlPNJZKVL4MRFc4mHGWwuLiDkgkTJkzg3XffDdhXQz3VtlghuuWJ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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x108fb3080>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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1bU4GFjEuZQU/lQ/EpRsxCIWBCVVFuuR+4AnAA4wDcTM/e5+hRF8HaBTpKxhm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\nLANAM6ZRZwyuKjc/fLWf4RcNwRZj7eru8P6LH/PRn9Zjtqj0GdKTsyc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      "text/plain": [
       "<matplotlib.figure.Figure at 0x108ff3cf8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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/pWcDEBodwi2vXl3n/tT9x7yWozWXTkYNyYai3FI+f3kleRluDyAjKZvwTiGc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\nKJpCz8F1j1IKsvyNX0RseNBh/1JK/n3He3z+wg/8+NEvvDxzPjvX7Pd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      "text/plain": [
       "<matplotlib.figure.Figure at 0x10911b0b8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "for sigma in ['bandwidth', 0.01, 0.02, 0.05, 0.1, 0.2, 0.3, 0.5, 1.0, 5.0]:\n",
    "    us = UnivariateKernelDensitySampler(sigma=sigma)\n",
    "    us.fit(X_train)\n",
    "    X_sampled_us, similarity = us.sample_near(doc, n_samples=500)\n",
    "    pd.DataFrame(X_sampled_us).plot.scatter(x=0, y=1, s=similarity*20, figsize=(4,3), \n",
    "                                            c=rf.predict_proba(X_sampled_us)[:,1], \n",
    "                                            colormap=cmap,\n",
    "                                            title=str(us.sigma_))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x10936aeb8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x10949c438>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x1095dfdd8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x10968fa90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x1096b6278>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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MuDNvTvA0rrvQBNKrRMeCUd99WmyEFv8fZNBInxduboGTguI8GpsTSxmRDJz8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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10978f3c8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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mbYVuTqPCE0uCZYBFixbx888/07t3b84444zmEILWzJs3j3nzghX/ZsyYEbZN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\nE291jbrz5WxbywAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1097a7400>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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CY5T1CGbhwYfgjv5LeW/vEOzeDtzf7ULaWmvOl6zhqvTejY6bTa7F2HV/cq50\nz6/0j7gARQQ+KI/2PZ239m3mpPjW9I8L3sdGVRTuPPP4Qi+qw2FzEhFpLs/UuO7rP+h9amdi68gR\n3RJo4WlUmOpo3yOFSfeOq7Ldph1ho+t1ShUdi9IGp+6fgkUbzMQbqy4HG495SFVR9YYTlJAg7sQo\ndiOlwEpvbPIm4sQcFHLQiaNEXk0Eq1CF/4iBUQW82f0bDvg+JtU4G5OoEBrdjQ6Sk2ycGukgtdrp\nmQsj29FpRaJ6Epm+YiQ+4pRemISHkZbN2PRiljkTMQgDopqo5E5RcTza7/jrhzcGPq/Gw+fOYcDo\n3lz12KW4HW7euPd9rnp8Iv1Ob/4Qk7oIT6Nqoa6iWMuXL+edd94pz4U6btw4xowZ0xJDbRak1Fnp\neAY3uSRaoW+8i6zSXliUKK5pdzIWtep0YlLrk3nzyCoKfaUkGa1cl9IHf+6IihsvkncxCn+mfCEk\nRrmVOPEEBuHPdKeQQxTvo8nAOttmRSPZFINKYOpQrzRgFhEMj4ojipdRRQ4+2ZFSrkLgJkHciYHd\n6MQw0Hw1bY2PI6WXaKUrceI2kk1+z+VWqolc/epGCwXQpYdM3wdEKf2IVRueVVE1KAw5bwDDLx4M\n+CtKzP11NhFR5gb33RSENZsaCKYoFsDw4cO54YYbWmiUDUPXdNavSMcUYaDfqZ3qfKi8lOKSRRxt\nNiTpIEqCyoTYx2s8ZnTcdoZH/U6up5g0cwGxhnfQsVAkH8KH33dGwRZwjBCgyGPzznjQaYuBQyhl\n8zJFGIiW89GptDwtwSpac2tCPu2UN5HS359ERZWZeOmFUewEQKUIC98RrVTUclIoLn+fbIhFlfWP\nd6qJQ763yNE+w6QtpZ/yKoqof8rRymxblc7y99fS5/Se5dss0Y3j2dwUSFl3m+YmJIRN5aJYQHlR\nrGOFTShTUuzEbDHW6M7+74cXs/GXvagGhRHn9uaqu8dW2+4oRiLx/3n8S9Y+XWCmukJgLlSeRmUn\nBjJoZZC0MarlwkxIG7E8TCH/RqcTTs7CIr9BiEqrYkQiZQlC+NCljo4Ng3CjoJT3o0gPkcrHeHQN\nDYGO3ycn2ZCFSfH3dVQwCqFh4UeQHnRpRBFHcx4HXhuP7ItCHqDgkYHL3ga2ESNeBATF8m40ai9n\ncyyRohNGEjGKWASBhvQf0veTYIlgcLvq8zxXR7fBHbngttF0P7ljvcbRUoQNxDUQTFEsgN9++43t\n27fTpk2b9347AAAgAElEQVQbrrnmmmoLuC9ZsoQlS5YA/to4zVHk/e1nv2HZp79jiTLz0H+uo02H\nqufM3FeArunoms6h3XlBjesUwx2sKpyPT/egiNaMT51GkjnwOIdtGprnWwA0wIcBY6WVIyEEKg6S\n1H+iRy0A9Uwo7ADsB8oS9JnHoisJ4N2E7tuEKNd+1Er9HP1fYgh4eL1IDFUsLUL4sCibkIZRSG0n\niEiUyEdIMlQav5yD7tsI0ofF8zkW/TGQNoS2HYkbpUzQJhrfQI95tc7rVZkkrqSzfh4GYQ3QatJz\n85n36wZiIsx8dcsUDEEk7TrKNQ9eVmcbg8HQLPdcXYRtNg1g8ODBjBgxAqPRyA8//MCCBQuYPXt2\nlXbHVvdriiLvx7J+xU4KcmyQA1+8vYJLb62aWyUm0UrmwQIQENcqMqhxtaUf50XNxablEa+2RrFb\nyLMHHmdkT0DMiQeNiEqewFJK/+qOvg+9+Bby5QIUniRGPIfAgVd2wu6aChgw0J8Ybqe2GZ6CQJcy\noFJvTc2l7qDAfQUKX6CyDb3oRdw8CFSefrQnVjyERfxcNl7QpIYUoIgyoeZdjZo/EI043PIM7Nxe\ny1mPpTjgk9nnpXtiHLEWM0UFBUH2ETxJSUlNcs+1bdu2Xu11PSxsqiWYoljR0RUrHWPGjOHdd99t\ntvHVRec+bTlyIJeoGAtDRlfvzzL9XxfxxRu/YrYYOf/qU4Lu26pEY1Vq8xGpuuzqQ0PT/X4pSiXJ\nYRCHMMpNeDiNQjkn4BhBMQp5SCIRZQ+oDw2DVAPsSwoquggsDSOlCJiW+beBl57A7xj5FIEHlc2A\nBTcPVDpvCQqFAcfq6Hik5heUgCpUhNAxkIfCNzjleHxU7zhYFxajkbnnnRlU218//53F839g5ps3\n0ar9iZVQPWwgroFgimIVFhaWFy9ft25dSNlzpj91GadN6ENsYhSxiZHVtrFYTUy6PbjKDFJKXlm3\niU3ZOUSajMwaMZTEyOojn31Mx8xUwIMAzGVTHI/UMItAW4UuI9BlArAQ2AEMACZhEuuJEXNQyUHH\njCZjkOiABTsXEMknqKIEKUHHBFQIG0kUGkkYyKh0HgNOfRB2rsYkvkBQEegoqPjVj+FfmMVaQMcn\nExAIJBoGSvDhwIsPA2q5U5//fJHo1D/X8vGgqgpCUVCU0NMS6iJsIK6BYIpiffPNN6xbtw5VVYmK\nimLatGktPexyhBCkdW+85Njfpu/j0+27cWv+5efHV/zG8+dW/2us4iBSgJTGSlMngVmYAjQSKcEt\nh+DjI+Ab/Ibnn4EMosQeDCKzvD+d9tjkA2WCpA0e2QmzXIlAwSw2Ah4koMl2lDAbnRRamRagezah\nSxWNfFz8BPyGV56BQaSgkIVOHD7OAkAhG7P4FVX4V8Lc8iSK5KNIolEowsAGYsS/kUTh0NujUoRG\nCg4moFPVJiKlxK7PQmMfFnENEUrDPXobI8dzS6E3ULOpyxUFYNWqVSxatAghBB06dOCOO+6otc+Q\nEDZQd1GsyZMnM3ny5OYeVp1kHypg9++ZdOqf3OD8vUfZlpNfLmgAbG53jW110tBkEqrwawy6NOPi\ncgwUYZLfVLK/COxcD9zF0RUucAHrEMdMxVTyiRf3gfThQkOnBL/mZCo3BUsU3IzCQCYW8ToQh03e\nSqx4BpNwYpZm7NKNU27GJ6cQIT5CkILGaWXHW4AKHxWdWGSZxiIxECPewCBy8UmVEu5Ap65pjBON\nrejk4JHfEUFohQ80Nw1RbIJxRcnMzOSzzz7jscceIyoqiuLi4lp69BMywuZEJOtgAXNue5+i/FIG\njOjC9GcvqfugIDira0dWHjpCgdOFKgSd4msu1q6TgoObscgPAA0vQ3FyM2aWY+Wb8nZCSBKYhg8n\nYMKHpER6ARWP7IuBAwjh9dtfcKMIBxo6UnrKTbESDx6pYlaMCCRGdmDla1RRCF6IFStRhb/2lSIU\nojHhlJJY5X+oIh/IwiAfo1A+iyQGu7wJK4sAJ6Wy4pdTJatsSRxUslE5WLOwkXuBN1GJxyqceGQ0\nZvG34730fxpkAwzEwbii/Pjjj5xzzjlERfl/qGJja75HjxIWNg0gIz2HwrwSkFCQbau1rc+nkXWo\niIRWUVjr8Drt37oVD4w8ha937aNdTBRXD+xTa3sP5+HhvIBtZr6rsqokKEUVElBQpCSCaFxMxs65\n6DIeIzuR0kCEWFHjuY7+YmoyFikjUZUK467AW+7Y5/+sYOJUFL4rb1PhyKfhoxW6zEcVWUTxCHae\nQqMXPjrhpTcGeQCNtniprYzvI8A2dCJIEF6k0hoH/Wu7XAC8tGU9mwvyeHLo6SRGWGptu3PNHubf\nspBOA9K4660b6+w7FJANWPoOxhXlyJEjADz00EPous5ll13GwIG1e2qHhU09KLG5SN+SSa9BqZgj\njAw8vRsDRnTBVuDkjItrvsF9Xo05d3/KwT15xCVauf2x82lbTf7gygxum8LgtsE7nVVGZQsqGwOS\nYUkp0Ssp10IIIojGRw98KJRyDUhQOIiBzagyH6VMXGhlxmeNVAS9cEkNpzwLiQWzXI9Sps1oJGMg\ni6PTNJ0YDKIjEjMCF7o04ZF9AB/x4h5UtiLLwh9UkYdJ/oSTXoCBQjkXgR1JFLUnlDxqkE9EoxU6\nfQELIIlmAYrIxybvLZu2VfBHfi7pxUXssxfXKWyiE6IwN1Ie5OairqXvWbNmlb8/1l0kuP51MjMz\nmT17NgUFBcyePZs5c+YQGVn9AgmEhU3QSCmZe89nHEzPpc+QNP7+rwsxGFVmzLm0Tt+Kg3ty2bcz\nG59XJzujmO8XbeDau5oursvIdhRRgg9QyzxJNVSkNCNERWyTURSRyM045VnYuA+FfcTwDyAXHwqS\nZFzcjc5BBDZ8XAQYkdLK0VunRF5JBCsxqAZ0TcEHKLIUSQQuOYxIsQilLHDTRyp2ZmBkKyY2Ab7y\ndS1NtsLD6ErfQmBiI0Z2UMoV5facqswBlgOn4BIVhmOFbCLED6iiGLccjIvzA4564uTT2Ge3MTip\nbsN+266tmfvz/XW2CyXqmkY9/fTTNe4LxhUlISGBbt26YTAYSE5Opk2bNmRmZtK1a82e3qG3GN9C\nOB0eXrz/C9545gdkNeuGUoLL4V/CLbG5quyvjcTkGGIT/BI/wmqkW9/6OWjVFy+D0KRfDdbQ8cpI\nbHI2JdzFUa9gBYEqFITQiRBLMbIZK6+jCr96LNCR0oeXvvi4DB+TiRePkiSuI0lci4kVxIpHsYrF\nCBwIWYxZbMQo/IGVhfJp3Jwe4EMjMGBgNxEsRycSIQQKBrzyZGw8h0ZFbJS//yeIUt4jTjyAyn4S\nxAzixT8QlJS18oEwgBgPIgmF/2LgNgRb0GmFh4G45QDcZUbpyiRbIzmldZsTogbUcSFredVBZVcU\nn8/HqlWrGDJkSECboUOHsnXrVgBsNhuZmZnlNp6aCGs2ZezedJjNaw4QE2elpNhFdFygaq0ogitu\nO51V3+/g3EmD69V3bIKVWx48hx8/20T3/u0YcU6vxhw6ACrbMfFzmXAYjoPpRMhFGMhFEVFY5EoU\nUYRRCI79syvCiyLzqP5O9G+L4lVMYhM+qSGRRIuHMCDK7TOyUiyOKgowyl24GYGPzhhJR5cR+GR7\n4sT9GEQemozGI3vjlT2wc1uVMUWL11CEfxXOyB5ixZOYxC4AkriaQvkPIpmHwEMp0/EyEpWPUcgA\nVHzMwybvROBBEtcIV7hm3E4Pbz34KVc/ehHVrMq3CA0xEAfjijJgwAD++OMP7rzzThRFYcqUKQGO\nt9URFjZl9B6cxohzehObaK0iaI4y4NRODDi103H136V3G7r0bppk2UZ+IpK5qKIAXUbiYhJOrsfE\nboziY4QowCgOosnqVwx8sj0eBuMjDYPchSoy0aUZL0PLbCagiCI0qSPLhI/KscnRK7IfSwkqe5GM\npUA+T4T8AUksVt7HULZErwo7Tn0AJdxS7ZgkFeVlFOHAIPeVeyqrooAoXkPlAABmuRQvI5H0RkdB\nZyQCO4niNgQuCuW/8NUzkLM+6JpOSWEpuqbX3biZaIiBGOp2RRFCcM0113DNNdcE3WdY2JRhMKpc\nd0/tdpRFc75l49LtDDizJ5ffc26jnVvzaf4phXp8s9oIvkAV/jgfRZRikr/g5HqMYhciILTAiCbj\nUUUhUqroxOFhAHZ5M5IYNGKw8RImuQIf7fBRUUyuVF6KQayGshQTVZNcmaDMU1gIUKV/zi+Jxskl\nJIjbMInd5atVmozHxfBj+vARzQuoIge3PBkFFwq5KMKNwItLDsPEdkDglj0wsh2BjlPuBg7hExXp\nNyJ5EIWsgHE1FZaoCO564/oa93tcXmwFpSS1bVoNK4BwIOaJzR/LdnAkPQdFEUELGykly//7K7mH\n8jn/trFYYwK1pm//s5wlC39BURQmzDiL0ybWP41lZS3A/9lvl9GlJSBeUcdEsbwPi/wRH51xcgHH\nBjTqtMZF1ehmH32xyYeJ5hGEKPVrONI/jdKlFWm+EOH+EkWUoMlWOLgw4OijfjN+QRNDkXwYH/0C\nzhHJO1jFV37thQLy5LuYWEckC9FpRTH3oUgb/kjzDDS+xivtSHYC9wEV8XIG9qDhxi1PwVfr0nnT\ns2dTBssW/c60Zyc230nD4QonNoPP6oNQBCeNCd7m8tXLP/L5vB/wurzs/eMQs96vCLOQUrLsv6vI\nO+TXSr57bflxCRsHd6DKIyjkoRONg6kAaGjoUi+LOZJoEnz0w37MQx4sXoZRxKtY5LtIolAwoZKN\nU44jJup8il2DMcqtuBiJRuXppgGNVFSZDah4GIqXY8MAHAicVDwl/v89DMEjK4yTVj7GKLZRKv+G\nl8eQvADso7I3sr+3a4mSz2NgCxZex8l1tNR6SK+hneg19Pim38dNOOr7xOaiO8ZyxqSTiUsOPhDw\n4LYjeF1+vxN7QUnAPiEEaqWSLKrx+P4cOikU8xoKuegkUJHCQaBVtqVUzk9DIQqFaLQHgs9ip9OB\n0kpR25V/QT0MwUcqFt5Fow0uruDo6lehfBIrX6JjxUVgvmUzH2PhPUDBJfuhYKBEXlXl3Ao5WMTX\nqKIIgYcC+TL+YNJVwKkBbX2cgsSKQi4WFqLRAQ/18yX57YsNfPDUl8x6fxrJ1eQoCmVk6JiPygkL\nm3rw+l3vsfHHbXQd1JGZb94U1DEXTD+LjJ2ZeF1ehl9UdRXrigcn8Nnz3yEUweTZVcuYBI8RncAl\ndSdXlRl8c5BSxYffE9nEYqy8gaAEjfbYeb4WP5b64CCauzCIA0hpQOUgpdxXts+Mg+qnEWZ+QCEL\nDR2NUuxyLjpVtUedWHTiEdKNT7bzbxRRwNlV2krisPE8kcxFwY6vrL+NxZm0MUfROqLu2lnteqTQ\noU87ouJrdlQLWcI2mxObI+k52PNLyD1UfSG5ymTsyORIehaDzunPEz/ci67pAVrMUfqP6kX/UY2/\nFA6g0QedRFRyEELDKH9DYS8WPkQVOQAo7MQq/0MpdzX4fCoHUfBHjwvhQ5V7gxxnewRb0JBAAWb+\niZP/VdPSTIGcj0omProgKCWSZ9BJwlFNQi2dDtiZV/55d2k+9+/4gdSIGF7sOx6zYgjI93MsqT3a\ncMdrgTmvM/fmsH/TQYZdNARXqZvPnv+Wif84P+gg3IPbDvPVgiXcuiD4VZzjQYSgZhN26qsHf3v0\nEgaf25/L759Qa7t9fxzkmSsX8PK0hfz7toVVpkvNhxeFimx0qsjFxC9UXqb20zirNTqp6Pgdu6RU\nyqZodVPKLFycV2maV/OTIonCRzdAwcJCzOJHzHyCW7sXXffVeBxAijmKbpGJtI+I5sYtHzB3//Kg\nxleZn99fzVcLfgTAUexk2y87y6fJx1KQWcT67zcHbEvt2YZrn55UbftGRYqaXy1EWLOpB11O6sCM\n/9Rd3SF9/X6Kc/1LxPkZjZ96MngMZX4y/iJwuowqX5lR5PsowoZPdsBJ41SskERh51ks8i10UnBy\nbZBHqriZhURF4SDealbDqsPNcIzyR3xk4eAnFHkHsSyosX20wcyLfceT4Szi0T3fEWeof7zT5fdP\nYPilQyjIKiKhbRz//PbeGtvmHy5g15q9DDq7wiCvKErzVGUIQc0mLGyagNMvP4UN323Gll/C2OuD\ny87XNAjszCZSPofAg4eR+BiCjyF4OQ1FHsbHgEay1/jRSaWUB4/jSAUP/6iy1cQqIsWHeGUfSvDb\nyaJ4FYPYhV3OoFB/hULp1zTVaqtPVCXVEsd/+h6/dvHWfR+R3CGJm5+vyK/0wVNfktqjDRfeXGH8\n7jakM92GHF/60gYTXvr+axARaebe929r6WEAoNMZOy9V2a7RGe048/g2J1FiISaxEwMHcMiLAYFF\nfOPPocN/KFIeI1b/Lz65B7PSPEUL731vKorqn/IVZduITY6mtNjFgW1HmuX8wSBCcOk7bLMpY8/G\n/cy9+lX2b8mou3E92bE6naXvrMLnqd2m0BiYWUE0z2FgCwAK+cSKh4kTszCwvcnP39hotEWXJnTi\n0IlGJxaNdvhkCi7pX+42KJ2IUMc2W1ClKcJUbhB+4Oxn2P5rOied1YeO/UInL3ZDAjGbigZrNrqu\n88knnzBxYjN6RzYB37/+M5t/2kFMUhQ3PVd3+lGHzcniBUsYdE4/ks6u2Qdj28rdLJi2kNJiB9t/\n3c1tLzfeKkQUr2AWa9GJpkjOJoKfiRavoIgSIuRKiuXtRIn3MZVVpTRwiHz5KpLQX8pV+B7BBorl\ndIxcjo9UjjruFch5xPAsVvE1XtkjqAJ2iw/s4fP96dw7cCjdYoObbgXDv366j8hYa8hFj4s/4zRK\n0zQWLVp0wgubv82+iIQ2cZw3NbgyH2/+4wPWfLmB37/+g1O21RwFnrErk9Iifw6Zouy687QGi4Fd\nWMXnKGX5aWJ4AYG3PJGVKvKJkY+jVPopUyhCZQ8q+/HRA43qy860NIIDqMxBoQhBNl6eO2a/A7NY\niyryiOIDiuUDNfRUwe+52ewuLmJLQV6jCJvs/bnEp8QRFReigjsEp1FBCZuXX365xn263jhm77qy\nuXu9Xl566SX27t1LdHQ0M2fOJDk5uVHODRCTFM2k+y8Iun1CmzgiosxYYiJq/VUbdeUwdv66h9zD\nBRjNRpa+u4rRU44NQKw/gtJjSqS48Mp+mFiLIjz+Uh7CDShl6R8kGiaiuBtVONBlLKXMwMM5DR5L\nY+OvFnX0mlZ1GZBE4pLDMLKfEjkZpAswgajZKjDrpKFM7Nyd3vH1q/+k+TTemrWIC6aPDfAifnbK\nK0yYPpZ132zmtIknM/T82lNiNjsnqmazcuVKzjzzzPLkxpVpDGETTDb3pUuXEhkZyfz581m5ciX/\n/e9/ufPOOxt87uPliocuZMTEk2mVVvvNa4owMv3V63j8knlsW7mbfZsO0al/Kp36pzXo/D6642Yg\nRrkHnWhK5A346IqUCiZ+R5V/gPChofsjo6RAUoAq/FUbFFGMWS4JSWED7dG5ngg+wsMAqlq6BHbu\nKrNBLAGmAx2hGkP4UcyqgT4J9Q858Hl87N+SQf6RIpI7JLF/2xEWzfmOJ364F1OEkdhWMXTo067e\n/TY1oejUF5SwSUtLY+DAgVWydQF4PB4+//zzBg0imGzu69at47LL/P4Xp556Km+88UZAjt3mRghB\nWu/juMlkwwuImfmZGPEiCgVIjGgyjWgxD4mVYnkfDnklFt7EIl9HCJBl/ypfKin9OYVDFSu/YBKZ\nqPJjPFyIpKbwgv1ALpTtl9KNELUnlK8PZquZx769u/xzTEIk7bqnYLaYyNqfy+qvNjFgdMtGlVfL\niarZnHHGGTVqMAaDocH2mmCyuVduo6oqVqsVu91OTEygj8iSJUtYsmQJ4M+z2hxF3oMpJj/r7dt5\ne/ZH9B7RnaFjBtXati4U25covrKUDbgxi02IsrvLZHoRPXo+Ut4FBYsAf9UHIVT8nl6y7LMVS/zd\nWJW6S3AEQzDXoD7Iku7g3o1qSCIhNhUhjAj3pyiuD9BN5yItfkO7lPfidvfCYBhEgesL8hxvERcx\ngbZRdwFuEI3rQJeUlET3OV0AEF6VtG6pAd+7sa/D8RKKS99BCZtx48bVuE9RlHKNIxQ4NlN8UxR5\nP5ZgiskbohSun3t5o4wphhislc0TUoGy6ZHXY6MwL49IHsOME3824UjsvEQUD2AQhwHQZCTFBQVI\nKrvaSwzsRmKtt9YTzDWoH7ejMh7NlwL5fsN6vPgYs9iC5tAoKK1chG4EAHbtCPGiGJPzV7zuGUSI\nX8j1jOHGFSfRJzGJ63v3w6QomA2N5F5mhPwj2bww7RWm/PNSoCmug5+2beuXt/qEnUY1NcFmc8/P\nzycxMRFN03A4HHXmPP2zYuNupG7GLDbiozWaTMHMRiRm7NIfemBgF0L4BYmUSRjZjYPbscr/Q+DB\nzdgqU5MY/kWEWI7ETKm8qsYo7eZBoNEZhUIEuWh0oFReDghccihGNuLFb5T16evR2E6MmEIr9VsU\n9qDLPMCHTz9Agbs3R0pLuOW7H2hlsfDi2NG1nrk+nH/7WVW26ZrO92+sYNxNoxrtPPXmRJ1GNTWV\ns7knJCSwatUqZsyYEdBm8ODBLF++nO7du7N69Wr69OkTcr4NzYGUOkJEYOce7JVuKHuZISiGJzGJ\nR9ApKc9DaxCZWMS/8Mqu5MvXAQPRzCNRXINOawrlY4AZk9hSVnbFhZmVOGTLujMISkkQ01EoplhO\nx83ZeOQQksS1KLxNkZyNh1NxyaeQHEIRHXHLUVjEN0gRS758EtWcwsKzrJgUhcd/XY3d4+GxVb/y\nwLBTa434DhZLlJn09QcCchzpuqQoq6jBfTeEsGZTA8Fkcx89ejQvvfQS06dPJyoqipkzZ7b0sI8L\nh93Ju7M/JyLKzLibRpLcPvil2Bzff7DpS1GJpZPxZqLFzzgZg4++GPkZCx9iFltQBehS4qELkggi\nyvL2qmSikoVAYhE/oohSpDxAJB9SylVoJGEgw5/7RoaC8diLwI3AiVoeva4giURHK0sUBgZxMrpM\nQBV9sDMCh7y0rI1/f2RZbrBHTxvBAz//wra8fHy6jklteCR+7qECFr/0A31OqyhDYzCqXPHQRbUc\n1QyEoGYjZHVFkv5EHC0Teixup4dnprzKoLP7Mv6WUQ06x+L5y1n3wx9ccvc59B/Zs9a2b8z6iJ8X\nrQUgIsrMxHvGMSZIv5s9nil48dtc0tQoOhvtaDIZlxyKRXwN+BCIco3PI7tjl7cRJ/6JKvLxym7k\ny5dQKSBBTCtLfG7EJqfjZAICB5H8F504HFxKfaJZmsJWoXIIA3sQOMqy+x0dj8df6vc4PKF9uo5H\n07Aag89OWBkpJZuXbafvqJ4oStXrEyo2mx6PPV/jvp0PtYzLyF86NkpRlSoVDbxuHw6bs179bFy2\njQNbj/Drpxuq3e92enj2b//Hoxc8T2ScBYPJ/4vqKnGza82+oM9jKKv4qBJNjLDjlT50sogQv6AI\nHUUo/kVuCbpUcclReBlAgXyOIv1BCuTzgBmNNpTIKbjlIBzyApxl1SIlVkq4CQeX0dK3hoHdJIjb\niRHzy/IVVx6PKUDQSKlTrH2HV8+tu19FOW5BA+Bxelj4wCIcxTXfI057/YoYNgkhGBv1lxU2ZouJ\nBz6cxrk3jgzY/uKNr/PoBc/jcQWfUOqqhy7m1AkDmXTf+Gr379+cwfZVfoc+ze3lrrduoP+ZPek9\nvCsT7w2+JEyKOgtkJ3yyFaLMHiNR0MtqO0kJetnytlNOwIE/xkujAy7GlteAimY+keIDFGyUMoXQ\nvA2OLtMf/d9NBEsROFDIwcr7gL+InU1fRqb2LJlazSVlGwuz1czcX2fXmCrU4/Lw5MR51e5rToRe\n86ulCAmbTSjRZVAHIiLNGEzVX5r3n/iCrD05THv5akwR/hIqg8/qR4eTai5A16l/e/qe0ZPSYgdj\nrzuN5LQkep7Spd5j2+/9P+wyC4AdvmiGGgrQZColPEak/ASFHAziEB4Sy3O/VIdZrMYgcoAcLPIz\nSqm55lFL4aMHhXKu32mRtsTwLyziG9ychsCFiXUospASbiVSOYlIfRDRyqgq/UgpeWXLJk5Obs3g\n1ilNPm5ThInHvqs5oVZz0VChUlf40FFWr17Nc889x1NPPUWXLrXf02FhcwwX31mzTxHA5p92UJhV\nTP7hItp0CYzNWvXZelRV4ZQLAuNkTBFG/v5WcAnSa8MtK+xPbtKwy1uIYCMx4jlK5eV4OL2Kmmxg\nN5FiEU45Ck9ZUTiNBAwcRpNxeGiYg2F9sfIhJrGWEnkjvjoCQf3pP4++74JGG3yyExoJCOHARVli\nMrmT1urJmJTzqvRR6vPyzYG97LMVN4mwcTvc7N14kF7D/7+9M49vqkr7+Pfc7Om+QdmLFVQEQRYR\nGWRzFxWXV/AVl1FHROUddARRBgVRRAVxwRVRRnFGZHxlBIdXQQSURUFFBhd2BMrWNkmXNG2T3PP+\nkdKFJE3apE2o9/v53A9t7jn3nl6SJ+c853l+T5fQjZuTCJZL4aQPAbhcLlasWEGXLuH97ZqxaSBj\nXxhDwaFCP0OTf9DGB08tQygKXft1Ji07OpG5tUnTnc9R71IUDLTT3YlEwSxeQBFuBC5sctBJPVRS\nxAwM4gBGNlFJT1zyIhRKUKWVStkTlWSsfIiLyxqs2GfhEyzicypkH2BiGD08WMVH6MUxQOKQs8O+\nVxk31NmKd8lrq3+ukC8isaGXQ1FEJqCSxFzcdAPD5bx04XAyLE0jxek4Vsy6xd/EnbGJZGYTTvoQ\nwOLFi7nmmmv45JNPwrpuPC7W45qO3drW0ZQ9ge2wA9WjkpRuZeGUJezcHF5lgYbQXv9HLAylQu1M\nsepApRUSn1E78a+R9WSI28gS15AubgIO4JVeFEqwiK9IEXMwiP2++tliH2niEZKVV0kTkxs8Hqv4\nJ8O0zIUAABwVSURBVEax3bcTJp1h9NDhpQNe2ZpKGb0saYO4Db24DlG11S0oxyS+xSzWAtApOZlE\ng7G+S4SN6lWpcNX481p3zmLsi2PqtLEdcVBqD+d5NCEROIgDpQ/ZbHW1tPfu3UtBQYFfPfD60GY2\n9eBxe3nhzrfI7dWRax+s35G7auE6Sm0l6A2CQz/n4Xa5mfT3cdEdD2Uc8+6gQtrxulfQwTgUu5yJ\nUf4HF77xJYilGMRvAKhV9ba96JDo0eNGoQy3bI+CE488DZP4FvDlUdfGyGYsYhkueVn18utkVLKQ\n8jCSNARmINQunsAun8NXzSF6yZJG5XIE29BzLV5uROVmbPKVJhEJ+3LRBn5c/RMP/m1s0DZbv/iJ\nzHbpnDO0pkTP/u0HyekeXrWJaBBqZjN5cs2Xy8kpPqFQVZV3332Xe++9N3TjWmjGph68Hi+FeXYS\nUqwh29746FUYTAb6XtmTLxdt4NImEDrXY8EjPUgpqMC3veqhKx5qAsoqZB/07EKhBKrEGVSZgRAW\nIA8hPDjVW6mkDyrpJMmXfKkMsra/Q5IsXkQvDmFgNwXyPAK9VezyaQzswkNnMkS4AXICf0MjsTAH\nhQqcPBzwXqGxAolAKgAqTZMMOezWgQwNEhe1cPJiJrw2lmFjBvqd277m16DG5ptPfiC3dycy26cH\nPN8oQsxgZs0KvnMXKn2ovLycgwcPMn36dAAcDgfPPvsskyZNqtdJrBmbejBZjDz1+SSEEjqsPatD\nBne/cDMAvS/uXm/bRY8vJW/3Mf40exTpbVLDHo+Kh2KvisRIGc6q1IW6K2EXV2NkIwb2o3ImLtkT\nNwOxyHUorECSRCW9UPFNk0v4c8A3pqwqyev713+1LXCiYMNdVWUzEvQsQ8dHCEDPVXg456QWbnxv\nVYnPWPn/f0hOx837EY8lFEIIhC7w+6HfiF5B64MNHTOQY/vyad05K0C/ngEDBCMaZwQ+m1DpQ1ar\nlQULFlT/Pm3aNG655RZtNypSTg76ixRVVdn65S8U5jnYsPR7RowLPylQwYBRJCGx0cOYj+BXoFut\n88dJFw+i4zBCqEiZQjl3A+CkPXoO4panoRJK4VBgl09jkSso52L8jU0F6eJ+dBTglNfh5I+1xpAP\neFAJHgpwMpKkKqNmwUPdCGwdP5LEE7jpgZ5f8XI6pTwZ9rWbk7P/cEbQfL0SeynH9xcGNDbRNjQQ\nmQZxOOlDjUEzNs2MoigMGzOA37bnMWzMgAb1FUJwVeLzeBiLURwGHgP+WX1ez85qQ+OVSbhkTUZy\nsngRs9iAke+pkINCbjurZNcxInX+BspQKEYRJejZVz0zUjhCMvch8FDMTLzUP8M7gZehlHEmkjQg\nmCNX4DN6/jOHSvUY+d43yFT+GykWYxITECK+tIGzO7ciu3P0ZGxDEmGcTe/evf2cv6NGBa61NW3a\ntLCuqRmbGHDF3UMa3VdRdBhla3wfPEudc5Wcj0sOR6GIYjkRlZpvUa9sh4oJSRJqmMXcgqGSRqm8\nDSM/UiJr6mMJXFWOZg8CR63Xi7GwgApGkCxeQ0c+djkDLzmAb/Zi5T3KuBtvLf8TgJeeOPgAhWIk\nFiT+/jOn/Ban3IxVmtGzEj2XoxfNGz8Ub7TI6goaNZQ6ylB0CtYmL686HbgW/GYnOiRJVR/0uu+2\nUu6gQvZDJSvIMspFpvgjAic2OTdkeZRyhlIpz6nOrAaqjJsJgQel1s6UlZcxixXo5a/ocPoinTlU\nZWy8JPE4OlGAlMmU8pjfvQTlpIv78JKNXb7gdz5VGUGC0g8DrZHcgiLqLuHcXi8FpS7apPhraLdU\n4tHYaHE2UUJKycwxb/HcHe80/c2EHkRfEHXFrxSOYRZfYBKbSWThyZ1wcw7eIL4UE+vQcRSdKCGF\nUDlGknQxgQxxPxY+qvWqEZU0VFLq7AZVciEemYubs7HLRymSU6hgIIKdWLgblVJUacYZpOa4xIKH\n03DLwM5oIQRGkY0Qws/QAHz0ww7u/3AlLVzgoC5qPUeM0GY2UUIIQadubTBboxc/0lBUMvHQFVUW\nUIZ/6D74nMgJLMHJdXWcuJX0R5KAlG6c3BjiThJBJYJylCqNYx8mingDQUWV/8WHmY8BF4niK1R+\npFDOBwR61qHwM266UcY4JMEE5PU45MxwHkFAru3Vlf45beNCbO3I3nzanObvJI428Tiz0YxNFBn7\nbKy1mPVVQXPBSRFPYxI/oJc7scsXATDzGYniHSo5p+pDHepDqWCXs9Czhwr+cNI5q59fRSEfBTuQ\nXOfabm5D0govOZiZA1yKh9DVSBuKSa+nc2b4IQZAk1XuyNtxtNrYFBeWkpzRNEu7eFTq05ZRLRr/\n+HSPbIdXpuOVNWJMRraiF0cx8S1pYoJfn0B4aU0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WjTHat28f8+fPZ9KkSaSkpAS5Ul1O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\nzdhoaGg0C5qx0dDQaBb+H8yWjSnBIlFbAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1098d33c8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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+eQ5er7fpjs1g9u0fsG3FXircPlwlbjK37mf8JccB0Kd/e/buLiQnRVAer1Ch\nSvYUlPLF9p0s9+bQLy6BWGvNG0OXBh7Dh1moqIqgU2c7x/TogN3WtK0HwKlv44fMneQHqNou0CCv\nwsl3zk0sLNxBjMlGV0fNulUePcCLu1fi1Hyh/wt85azwLaOkMsOiROI2fJwU2x+L0rCwDEgvm33v\nkxX4lUilPValSpt4f/kW9hUHv0PdkChCUOCo4If16VDNDahTQjQjejYvT2/XYzoy5pyhmBxWfvpi\nI1ExduKS63ovb1m2k48e+5KS3DJy9uQTERdRY9eqKRwORyjny6ESFdUy7+p3Mr7DQNT7uizt6Nid\nwppNPXTs0Y7751WlHW2toEoAT3lNx7bqXrxJyVHc98jpzHjnO0oKqnIFu9wBVhXkce/vv/DGuElY\nK5cLa5zpzM35Ba/hJ0q10CMmH6mUYxVWToo8k+62xtMb5Gs/s8f/Gn2TYtm2fSiaVYAE1WfG5ShH\n0SUu3c+7+1czLr4HihBIKdnr30ZRoBizUnO7uVArwC4rgCqBKBCoomFtQEqD5Z5/U2IE86UU6ds4\n3n4vEWowXWhyjANLhB9LtA9vsZ24SBsfpW/HFath9yoouiAxxsH5o/s0eq21+fW7rbz33I94yn2s\n+2UPM58+l07da0bUqyYFUZkyQQhRx0GwLdMWNZuwsDnC9BzWhb0bskL5gFO6JdVpU2fJVPkbz/IU\n81n+PM5POQ8FM3NzfiHbH9xGL9bclJRo9I1z4gZ+dH1FN2ufkKNffeRo8wlQxtBOZZR6I9iW35ko\nUxe8MS7yTVW7T35Dw29oWBUTX5X9j52+jWhoDEuNoGJfZ4orTCRbHAxO8lAkXPjcJvyGigqMjO6O\nTWk49ahHFuAysmv8n6EtpZ96PgCjRqnk9szAMPtQfA7OaXciy1fk4E+UaBE65gqFa8cNJiW2qsDh\n13nb+CJvCwLBVanDGRmXWue865ftxlMe1MpKC11s+HVvHWHTe2R3xl5yHLvXpNOuazInXXZ8g9fR\n1gjbbP7klJd6+PqN5SAEp08bVW8NovNmTsRqN7NrTSYJHWK5+J669oxbJwzn/q+WUuByEmmrYOSx\nW9ivxbCxoBOZrOVbp4tTIqfiNWqGE1TPzhaQPvzSj1U0b/fnpJ5bmNQzhyH2S5mduYEFBSVoldvd\nKdZobKqZEq2Qvf7tmEUF50el41A0psSWs7noKsYkdKZMZPB1aTamyBIqNDNdbalMSxnf6HnNIpKA\n1DjgXS/DaRyIAAAgAElEQVQlZPv30K/SnWVlxUqkxYcApM3DOv/z/L1vex7e2Am/w2BgajIjO1Rl\nJizy5/FW9nIK/UEHmZczVjAitlMd7XTwmO5sWZmJu7yC2KRIBo7qWmduQggue+i8euft8/iY/+oS\nYpKiGHfpqFbVfluDsGbzJ8br9vGfGz8ge3dwN2jb6kzunn0p9lpOekIIzrjhpEbHSk1w8PeLdlIQ\nWIZF1VAUcPvNJMWXYjHpFGt52FUL8eYIirWqHSubWrWsiVCisSqNC5oOpil4/dkEKEVgIkkN0F65\nlfvSorArZ7LL4yPObOO+LhtwcBkRJoNhNjOD7XmkWYL+M93lWo51bKCCY+jEADqa1mBmCQHiiTJd\niJWlmEinghPR6VJnDhYRgZTx6OQhCLrZW5Uqe5OoddOYKePsjtvoGv0YJf4U+sclYqpc6miymO0V\nD+DRBwLBz91vaBhI1FqxQsdN7IvVYWHzinRKy7y89sT3xCZEcP0Dk7E7Grd3aX6NF697k01Lt2Oy\nmCjKKuH8uw7eCH44CFfEbISmSkcsWbKEd955J5QxbNKkSZx88sn1DXVU2Px7ekjQAGTtKmDbqkyG\njO3Z4rG2+B6nnNVUzwoRYQnQJyGPDH8iJhE8cFfnKbyU/SNu3Uc7SzRdowsp1+1YFQeTo+omrKpN\nkmkMVpFMkb6cRGU5Pcw7EALMAv7ROUCxfAULXxDBtyiiAhMwMUqlul+iWWhIuRIfZ2LnK5ItH6EI\nF4bcg87FKPhRRQC7/AqnvAc/dX2UYpS+7AkEhZeKmZ6WqhzJE6JP4ovSz/AYxcSbvJwftxtF+Oke\nVUqAmuVcSo35xFp30DWiA1udKZgUGBrTEbWBpeSQMd1RzSovzfoWLaCzb3chbz+1kKvumVTvrpNh\nGLx047ukb8qmvCg4X82vkbl1f522Rxs9vIyqn+aUjoBglverrrrqiM8v4NeYPesb9mcUERVj55pZ\nU4ipldk/Jj4Ci82EvyJoi7HazUQnNJ79v9RdwZrdOSRFRzCgS9AgqksfbplRp60hISAdxCiJjIkI\nBmUmWKJ4oOtZB3VNCsWAn2i1J9FqLxLEUqqvBBRKAB0L61FElVHbruj4jVpxYRSRIKajUIwiNHSp\nV3ocl2EAQiqYRAEOPsQv6wqbsZFTsXoiKNcLSTJ35VibFTMPoTOMnvbTuMl6I4Z+OynmzZiFgSZT\n0ajrHWwhFVVYmdH9J7aXJxOj9mR8bMMpLPwBnbc/XYMW0JGGAcVlrJj3OzuXbmPWR9cTVStAc8Gr\nP7Fu0ZaQF7gtyk5krJ3xl41u8vM+0oSXUQ3QnNIRR5N3nv2elYu3h+Jk3nj0O2Y+fW6NNj0GdmTk\nxL5sWL4HAQwa04PuxzS8FZtV6ORfH/xMTrELq1ll3DGdufmMESiYUGp9LQIzSeoIBliuIMoUh1kc\nSnyOJJqnsIpfAR2NHpTIxzGIqdUqClDxMxizXFpD4FgViQQMaUNRO2MySlBFSYNn1DFQUGgoFE8V\nZo6PuATwE8NtmMUWDBnAx48IckG5CqH8B53Z6NKLl+lI6gaFRikn4JVn4DHWMzQmgg7qrY3aUn5e\nlU6GtwJ7lBklvwylcsu+OKeM799aznm3VXlvZ27J5pv//oCu6wihYHFYuGzWWQw79RjsUTaWfvAb\n38/5CXuUjZtfnU50YhTuMg8fPvYlHXulMOb8EQ3O43AQ1mwaoDmlIwBWrFjB1q1bad++PVOnTm31\nou2apjPnwW/Yn15EVKyD6x4+g6g4B7n7imsE5Llq5WWBoC3mynsn46osWxLZRBqCtxdvJKc4qIr7\nAjq/78yh1F1BbISNDqbT2Rf4lABl2EQyvc23EW2qu7Vr4UcsLEQSgYebkMTWey5BGTHiPyiUYkgz\nFrEFRQR3YhS5hkjmUibvIIEZKLiRmHHKYJJxP2dgIh2rXIQiilFQUIWCLm2U83eiIgcinFfWOp+g\ndkoxTbbHJa+qPO4igrcRBHBzGQbB7z6aJ7GJLQgBEhPIAAa/E+AqJJG4ub3OtUmpUaS/R4AC4pWL\naWe6ESl9uOWzeOWjGMZkrMrEej+X6CgrFosJb1oMqkVid7oREhCQ3DkBza+x7JOVRMZF4PcFcJd6\nAIFUYNiEfow5f3horAWvLSF7ew4A8x7/iqufvpTHL32etT9swhZhRRqSEy6smwP6cNHc5G1HkjYh\nbJrDsGHDOP744zGbzSxcuJCXXnqJWbNm1Wm3aNEiFi1aBATLVbREIL3z1HxW/rg9GI0NvPf0j/zz\nlSsZdcoxbP59Ly6nF5NZpc+gtAbHtZm95GUVY0uKILIRD16z2Rz8RVQ+eQWC6JhYEmMjSWQaPbUp\nePUCosxpWJS6Dl3S9w24nwEZ9MexqRkQ8z6i+u6TDCDc96P4f0BQ6ZRY60EvhMRhKcMhPkT4yxCA\nQCNefQc95kwQKvAQyFkortsQ2kYkCljHEx1xKSZVR3rSQN9eddrqgkZEg/l0iJhBrJIIsgLVOQOh\nbwHAoaxFj34blHjUslyEfmBeAgUFkymGxJhEMIoAEyhVGk1A283+4gsxixJ8hoksYxmd7RdhaFvx\n+b8FwGAb8dH9sVvqLrsmjU1gV6aTLTtzMKUlUl7spcLjY9TkQZx9zSnMOus/rFm4HovNwqSrTqLP\nyJ7kpefTrksSf3/l2lCEvpQSd0nQUK+oCml9UklMTMRVGnyvwu2jKLO01R+OjRE2EDdAc0pHVPeg\nPPnkk3n33XfrHat2wa2WJJzO2JUTEjQApUVOCgsLGX/WYNzuctb9sptOPZKYctmIesfdvnYfc5/4\nnrJCN7FJkUz/56n0rKfu9a+/7SV7WRaxpQH8ZijtZUZPVEjPz0XRDmgnKhCHwUw0MpFYcXMTGsHY\noig+wiKqHP+kth1n0W9oVLnsx3EdFrGd2isJKVVE5V1tyCjKfCOJEPOwVGtn6IUUF+0KaR1BHkCh\nFIkJ1ZuF1fsM9phRFAceI0q8iIV1qKIUBaVSppkxZDQeXzweH0AhZtYSL7aFhJ4w0nEXf4yXc4kV\n0diqbYHrMhZXYCZK0W1YWINEpUJOwkVQQ/IbN2KmELMAi6KToxeQXf4ikYopdM26LKKgdAkOpf7C\nfZdM6QdUOj/+vWrZVFRUxL7tWUgZzAO9deUO7vnoZlwlHiLjHLi85bi8Qc/m9T9uobwkqKWarSaG\nnnYMhYWFnH/Hmbz/2Cc4Yh2ccs0Jh5T8vEOH5nlHHyBss2mA5pSOKCkpCZX4XLVq1WGx54w7ZxA7\n1u2jrNCNPcLKgFFVybCOm9iX4yY2Hh/16avLKMgOpp/Izyrl09nLuOv/au4Kud1+5n20lsLKDH1m\nP1iLNbLi3Nz94888PO54eicGBW0Ez2Dhl9CNEyGfpoy5gBWF2kZkGdQ4KjGxHrPYUUfQAGh0wpDx\ngKRCjsfHWBx8XqONQQQmtuAQ32PICMq5HkksBnHY+JYo8SqqKEWWz8PBOZTJBxF4iJLPYhJ7MJGB\nIjQUconkdex8jiQel7wEiR1B8KkvpRmD4PWWyXuAx1EoQpOd0OhGgrgVlfzQddiZj1ueV7lkrApF\nUQVYhI4uBToBTJgADUE7LNSsPd4cDMMgqXMC+ZlFWGxmug1KQ1EUohMi67S1WE2YzCb0gB9HtANz\nZQG9MeeMoM8Jza8+2poYRljY1EtzSkfMnz+fVatWoaoqkZGRzJgxo+mBW0ifYWlMvHQEC/73O2ab\nGdFC9/TauWoM3ajTprTMg6ta2RABmD3BfnluD+9v2saD44K7Gwq5tXaIylAowSAFSRKQQ/Wj1cME\nTGxBolPdKCtlUNCUyXvR6B16P4rHMbMRKUEiMEgENGLFv1BE0OHOLHdRJF8CrDjEV6iVWpXAhU0s\nwSWvQuLAyT+JkO9iUV6vmlml0IFcYngGTXZApRCQ+BmEj2A1A0kUpfKxyqvJJ0HcgCpqV+DUEPgJ\nmla6I8kGJAGpoEuBSZFIkrBxOlLkYOUCTEpane+hMfIzC3l+2uu4yjyk9e/IGTdPZPiUusuwA/Q9\nvheTrjuJ3WvSGXHGEKITj0yViMYIG4gboanSEZdeeimXXnrpYZ2DFtD56ZvNlLsC4Aqw4IM1DD2x\nR2itXbi/jPzsUtJ6tyMiuq7D3HGn9CFvXwluZwWRMXZGnVpXE0pKjCI+3kF2pQZkqOBNqPLpsFQr\nwaLTCSnXIERQGBnEhpY1Ol0xyQ0hYWTQHoN2ob4qpQiUakmwBAZWwFJlvwFMbMMhFiKEUdlKImRx\naJlV1W4vZnYQYECda1LZT4K4mjI5E43++BiBQ35S7w6VKoI7VwHZlRL5EAadqGNIIihYBVWJt4KC\nUMXPIAySKuf0L3SuBEqxiFTsigmb8NLZpKOyDJ88Dhctj9b/5Mlvyao09nrLK0juktikh/C5t7et\npFphA3Ebx1cRqBEY6SmvoLQyp8zSL9fz+exfKCt2k9I5nlufOZ/kjjV3f04+fwgduyWydXUm/Ud0\nptegujE5FovKbbeM4+13VhII6BRHaxTGekHX6RITzXVDqxzVCo3ziBM52ChEYsPNbUDQoc/NLZhY\njyqzCJp0OyMJhkeoZOIQ3xFMcSxCdmgVHyp7iOEZCuUbgAmFnJCgOUBtQQMgsSEJ+p145WRU9qOK\nslB7M7uI4SmK5Bto9MIpb8bB56jkolJY5xwm9mJhExXU/YwANLqg0RUL2wDQaY9T3oyfURwQTkI8\ngym0nHSSrF5MvLITi9hW+TnkUyHHodH8IE3DMPD5tGCqVt3AHmEl8hDyFx0tjEPUbJpysgVYvnw5\nH330EUII0tLSuPXWWxsdMyxsquGItJLaIwlniQfDkKT2SKJLn6C2sOTT9ZRVVh7IzSjm89k/c+1D\nZ9QZo8/QVPoMrf8GOkD7lBjuujNoxJZSsrmgiALPPjolzcVjmkcgkIrTSKBQX4GBD4dIY4DtIcyi\nyl5gYhsKRQgR9A0xyzVY+Bo/Z2BmZ2iZA9Sx2wjKMbMMB28iKK++KVY5JxHSpoIahZkKORaNboCk\nglMIyK7E8ggmUVV5UyUXO+9TwZloJKFJExodUOiFiX2YyAidRwiw8x0VsrZGoKGQgySGEvkMDvke\nAh03l1b6/lSn+hJLArkI3GhSAwQKnkrnxeYz5+6P2bR8N6rNRmSsnfNmTmyVYoNHmkNRbJrjZJuT\nk8Pnn3/Oww8/TGRkJGVlTafKDQubagghuPmxM1n6zUa8Lj/jzx6ItTJmoPYNq6itsyb+Ztdefs/J\nIcbxEx1T1uNH4pe78UkHemV8j1vuZq//LXpZbwz1M7EFRVQZSBVRgVluws8ZBOiDLhNC9o7qwgPA\nIBoHszGJTAB0BKo0AwKdOAKyPxY2AhoSDTBhFhuwykVEiA8rd6QiCcjeqKIAgVE5By/RvEoUc5EY\nGARtU7pMpEQ+TaK4EUGVj5KJvdj5Gi+nBz9jXEQxE5WsSt+h6bipqv5QhYHKPnSOA7YApUA8MAlD\nPlep0Uk0LPhpWWbAzC370QPB64lOjObEi49rUf+2gjwEA3FznGx/+OEHTj31VCIjgw/AmJimK2+E\nhU0tVJPC+HoSZU++fCTzXlyMq9RLUsdYLrhp7EGNb+gGn727iuyMYgp6mFmplOLRNBS6kuWayE2j\nvwvOAz8HggktGNjJQeAh+MzSCDAEQ8aiVGowhoxAow9mNqLRmXJ5HRHMA3QCsi8KxajkIrHhlFcR\nSVXpVInELxMJcAIezsYgFUUWE8WT2MRvlYLWSQyPoYSWQwVITEjL2Ujf9ygiaF8RAgTBpaiQCjoG\nqijEIn/FJ0dj46fQMk0VZUTxX6RUqGAKdl7DLLZWjl+OXb6Pnym1PkGdWHEvFjYhhQWnMQ4fccAJ\nKCKe6hm1DNl4uEh9JKXGk7UzqK0ldqq/5tYfAXkIW9/NcbLdvz8YD3b//fdjGAYXXHABgwc3Xqs9\nLGyayfCTetN7aCqlBS7apcZhsTWco6Ux3nj+J35dshNDl+yPjMSbHPwKDBQyS5KqGfZiUPGTagrQ\nz6JjE78juBADEwKVAP2okKdhl58T9ISLIUr8D5USdNrhlHdQJKt2hGrq1Xqlu39wiaGiYBL5WMUn\n2ORySuTj6HTBUunNe4ADGswBFDxg5FMjZV4Ngp0NaSNCzEfgQycaRXqqPJiFGxvLqZBTUMlCrdw9\n0zGAurYjC2uwsqpSYLmJUjbjk+8CKpbKgNGqS47mgMBekpPJazs2YEjJ+V16cV6X3nXGBrjh+UtZ\nMOdnkDDp6hMauK4qtq3Yw4I3fia1dwrnzpzYZlJNNLX1fffdd4f+ru2b1rzxDXJycpg1axbFxcXM\nmjWLp556ioiIhgV8WNi0gKhYR705ahrC0A1KClxERNuwVaYtyNhdiKFX3vlazZW1WdVQhIFAJVaM\nQhEL6WcJEKFA8MbzhzayFbkMi1CCW9OArOaLYmI/kbxOsXy5gZmpuLiPCPk0CiWYRGFomWUSOUTy\nFmVyFpLa6TGoZd/RENqyGvadA8ekVNClHZ0oVAFmUZUgy5BVKRykFGgyBZUsbGIvyoEIbangob5K\nCYKau1dVf9vFfFQkB/bVDKoyFb62YwN7XUG7wnt7tnJ6ao9QxsPqmC0mzrih8Rw8oasP6Lx536fk\nZRSxZfkuEjvFMfbCIxsD1RBNLaOeeOKJBo81x8k2Pj6enj17YjKZSE5Opn379uTk5NCjR48Gxw0L\nm2ZQWuTilX9+QYXXz/hzhzJoTNDZTwvofPTiEvL2FdNrSCqTLx8ZerJ5XD6eve0j8rNKsNnNnHHV\naMacPhBTNd+dxNVe8qJV9EiId5RzYf9fiVH9SAklxo8gAg1WERTCqKFp1DUCa41ek05vnLyKmc1Y\nuC209AkSFB4+ORyV+TWNx5gJyB7otAd8mMirdsyC3zgGhEpA9sHFVATlxHE/UJVUvfrcJA5cXImd\nRaiiujHXgZ+awa4Afobi4zjMciMSCx55OkFv633ANhShoKAgpYpGVXqP6nWvDCkxWmFvWBoGmhbU\nvgI+LVSxoU1wCJfXHCfbESNG8MsvvzB+/HicTic5OTkhG09DhIVNM5h5+jMUFwRtEns35/KP/15M\nx25JvPnYAn77bjPSCIYqIGHK1KBB8aMXl7BnU3Bd6yr18u1bK1i3eDtF23NQVTOGxYQwwLbfQIsy\n0btrIWO7BOOLJFQ65AlcUmKTdbUKKZU628ky1M6MX/YDqQNOILoyxqkuAXoToD8WuR4hJJpMwSUv\nB0AVzjpCTCeOYvkCYMbG99jEBkSlJ69OJ0p4HKQVgYd4MROVbMCPlGaECFQaq6vPW8NENgF6o8to\nVOEEwCA+5FlcE4VS+TAKeZXb8UH3A5XP8MgyBBYUBJqMxcs5oV7np/XivT1bMaRkcqeu2E2H/tM3\nW82ccsXx/PrlOuJTojl1Wss9lQ8Xh2Igbo6T7aBBg1i/fj0zZ85EURQuu+yyJpOyh4VNE6z/aTvF\neU6ozAbnKvOydWUGHbslkZNeFIoG91do7FifFTJn1k5s7irzsn5pAYZemenlpM544y0gBIoGRaVV\nuYgVYcFKCl5y2BLQ6G6yEqN0QdAbE9kIgnFDNn5FEZ7K7WkbftkHcBCQfXDLIcDFBIVNLMiHQNRn\npzBRIv+Dgy9QZAlepqATjCPSZWKNFYshVVzyag74+lQwkSiHiuaej8SKU97CARtJJP/FIjaG+uoy\nhoAciCHN2FgWstlIIiqdFdvhklOxsxBQKZdXIWkokFVgkFLjHUmPYPyYrNwBoy/VJ39el96cntoD\nQ8pWETQHOHXamDYlZA5wKAZiaNrJVgjB1KlTmTp1arPHDAubJti/Kw9pGFVZ9oFeQ4J+NNFxVfYb\noUBK5+DuhWEYaKVlUFqCrktMCbFERNtwFzpDY0hdr7H2ibJ2xsxJSJyYxCDiTFdRIj/GL7PwyQm4\nCVr6VbmHaPE8JpGFX/bGkBHodMPLGUHP2pD6fAWwt/LvIuAJYG4DV2nGw/l13i3nBkwyExOZSMx4\n5AX4qJmuQdouosRVN2NidT8fCC6xyuS9SGwgn8TCakDFI08PeT57OQ+vrD/nb33Y+RybWIwkAqe8\nHZ3zUdiAJA6Nf9ZpX5+NBqDI6eGlL1bi13T+dtIA+qbVTUJfHxt+2cnaJTs46cLhpPZqfAlxxAkH\nYv5x0PwaqlllxOQB/PC/FRSX+kAIUnsk0Lnyh3XVrNOY89C3OIvddOiawPk3jQPg6/9bxLrvN6IH\nguv5WLPBDY+dyYu3zgtqSUCfIh3voHhKPT6i7VZmnjaSaPXUGnNI4OJaswoQKx7CLNKBA8stMxqF\neOQFtdrWrld0MPWLbJTIZ4OOf9g4oNE0B488FTMbg8GaEjTSQpqKk7tA+gjaWg7uJ2hiK5HijdCy\nS+ClRD5bz/5V0zz36QrW7w7anorLV/LSzZOb3FVK35LDG7O+orzEw7aV6Tzwv6uxRzad1Oz9h79g\n74Z9jL14JMefd+xBzLaZhMMV2j6GYfDSDW+yd10mFoeFqY9ewCOfzOT9p74kvn0Mp103LtQ2MsbO\nrU/XfRJnbMoOCRoAZ34ZyR3jmPHUeXz3zgqsdjMX3HoykbEODBksvNYcVApreMQe8GmxsI0o+XLw\nJsbAxoeYhB+/VPCHjMgtC0asTl3P3abxM4YyqWBnIbpMCqWFqOLQsg2a2YJCGXqloVehaQ/Whqjw\nVxms/QEdw5CoauPfSfbufMpLggLc7aygvMTdoLCZ/+piNi7eSs9ju7L0wxV4yysoL3IdXmETjvpu\n+/z62WrWfr8pJCw+fPRL/m/F40x7tO7OSEP0GN6F1d9vDD1dfF4/b//zI6597jKuf6LmOM0VNAA6\n8ZW+I846xxThAgkRPISVHxBCYsGKRyZSwWDgrmafp7XwMxq/bN38vAobsfIognL8Uq/0FgZDVqbs\n4DcsLCTAcPxMRpcGC4u24db9nJbUv94aVqeP7EmpqwJNNzhhQCpqM7zDh0/ox4I3l1OQVUJcYgRJ\nDTgAluSWMf+VHynLd7J/Zy6OaDve8gocTWRyPFRk3YQDR52wsKmFx+mtoZXo9aSJaIpJ14zj21d+\nxFmZswbDoCy/roBoOVac8laieAUTmQgR3K7WZQxeeQpgYOXnkN+LEBIHJfi4o3IZVD8mVuPgNYKe\nycfhrTdEoG1g4UVU0iu9bVQOGIElBiZ+J4JHUUUJFvkzAjcPpcfwS+kedAx+LdvLkz3PriPgxw7q\nwnF9OxHQDSLtzStbrPkDuLPz8GaXkFtWytblu+h3fN1KGmarCZMlaCsy28z0Oq476xduxhZhxdCN\nVgt7qUMbtNm0vaQXR5kTLhxJ18GdUU0qMUlRnHhRy/PGCiEYcGLv4AaWYWB1WOg3ptdBzkgnklnE\ncjExXIHETZGcQ778BI8xmQp5Ak55e2VOGAHUjuDWiOT+hudKGZH8G7PYhFlsw8aHWPj6IOd6+BGV\nVhlJTbOExIaVJaG0ForwYGYVe71Fld7IkOMrw6nVX7PdajE1W9BA0K9G8x/wsQngKnHV2y4yLoJr\nnv0bYy4cwQ0vTWX3qnTKi1xs/3Un95/6JHPueK9aGpDWQxgNv44Wf2nNxltewadPz0fXDc67YzIR\nMQ5sEVbu/fgWMjdnEZMcTVJqQoP9c/fk8+WLi3BE2zj/H6eFctICXPXUJcS2iyFnVx59R/fklOkn\nHtQcbbyJhSWheKII+TzldEanGzodMPMjkWIuqtyPh4vRScJEzTpGKg3XNVLJRKnmmKcILxa5Gn9l\ncOTRwsIKosSrCAJUyFG4uAGAAOejsgMIoGMgpILbiGaPHotCFj1MUdiUcgxpReMY4s0OMn1BARRt\nshFlCmp4UkqWFqVTFPAwJbk3NrVlt0JscjQnXX486xZtpn2P5MaTa43qSd9RQa2nQ492lOaVoQV0\nsrblULCvmAnTTiStfytnnmyDms1fWtg8M+01dq4Mbg/vXb+PB74Ilv6w2Mz0GFa3HGt1ygrKeebK\n18jPCLp1Z2zO5t6PbgrtYqgmlQvvqZuCoqWYSK+RX0YVBcRxG345Epv4NRQACXNR5a9o9EeRxbVi\nhBoOsdDpgEEiaqXAkdKCdhAJp1oXSZR4GbMI5qpxUIhPHk+AgWhMRmMPVj5BxYcmE9iq2fGzGYCt\nWixDLXYMulDBJfyzm8brWcvxGhpT248IFax7JeN3Ps/dis/QWVy4lxeOOa3FcU1nz5zE2TMntajP\nTbOnsX9XHh89/hUblmwlNjmahA6HIeAzbLNpO2h+jaLsqkxyJblleJxeImKaF/u0ZdnOkKAB2LMu\nk4Vv/szEafVrMLqms39XPvZIK4mdmp8fxc8ozHIFivCgolSWSSnDJn5BEcElgS4NwI1FrAYgIPug\nSyOUCsLFHQ2OL0nAwwzs8h1AQ2MQFdTeRj/SGAiqUqcqwoMq80IBFRXciEEPzGzAybFoPBtqq8sy\nVAxU4USXc0C9llv/n73zDo+q2vrwu8+Zkpn0ECD0Jr1IB1GaiJVmAewFe712saNeFfUqV0XuVVGv\nveEnIIrSFJUmIh2khZKE9DYzmX7O/v44w5CQNqQASt7nyZNkZp99Tk5m1qy99lq/1aZ8rdM2Zy4+\n3TDimT4nLs1PrKk2O2SHSd+ZxYePzcEeY+e6lyYR1ygGXdf57J/zSd2wn+IcJ6rFxDXPT6Lv6B7E\nJB59dXq1NGx9nziYLCYSmsRRcNBIPotLjsFeReuVI2nRqamhsh/a/tQCGvP/vYhWnZvRdUjZQGHA\nF+Tla2ezb2sGligLQy/px8QHj5ROqBg/56PgIJa3UUor6Ek/moxHFcXh0sNDqGRRzDvoJAAWKpLd\nLHuOUfg5cVoZE6pqV2UeQgSR0oRNzMMnT0Ni6Kf4OQc/56AQxMyn+EI7dHahh3Ilg9hYgIlUHPJe\ndJqUOUN7eyJ/unIJSJ1ks50YNfJ4TXV89s957FiTCkD0czZuePky1szfwNIPfg1r5QDsWruXEZdV\nVGc+QtwAACAASURBVGxae8QJuPV9UgeI73nvBs6YOIAhF/Xn3v/deFRudOtuLRh359nhnQYAV5Gb\nLT/vKDf2p8/WsGPtXnwlfpz5LlbN24DbWXGgsiK8XIpO6zKPSSw45W34ZY9yNUQSa0jC00rF+r5Z\nRPMMMTyFQlrE13EsKZaP4Q8VUgoRxMJmYplZbpwQJlqbXyJRuYRkZTxdzUb2r5QCVTiIEqtJFlej\nhrOpDf7Rfgg3tx7AhMZdeaHbOXUmDbF95S72bU4HwGRRSW5l/G/ikmOwRBkGTTEpJLdKYtjkeqwQ\nl1V8HSdqbWx0XWfOnDl1cS3HnNikGG7412XcNONyEprEHfXxZ18/jFP6ti01XzS9ziwf7wh4A2X+\nybqml/mEi4SA7FD2d3rg5RwK5EwK5acEZHd0GY8mm+LlokrjNAIHsdxHlPgBq1hMLPcjqHk/o/pD\nCbfYDUqNIBomsQQr88uM0vQV6HIajRQXjdRbcfAIbv0MNA57KorwYtVf5d+b17EwzfA4stwlfP3n\nfhbvyuSxNSsI6DXJPS7PV/9aiCtU/d3ttE5YbGaWfbiCbqd3ZMD5vVDNKqqqMHh8XzoPqlyOobYI\nWfnX8aLWyyhN0/jyyy+55JLytTVHQ3UCy4FAgJkzZ5KamkpsbCx33303TZo0qWS2usOR72LRm79g\njTczdNJAFKWsfb7zrev44LGvcDs8nDa+L50HljUKGbuyUEyCqGgr3hIfiiLoMrgDsUlHt053cD9C\n6qhkopNEsTwsfiSJxsEsFLKIFf8hhvnEsACdWCTx+OSgcO2Tid8wicM9p0wiA4v8CV8FtVHHG7ec\nhImdSHIAEHixMRsfYwAFKdPReAZDNRAscj8xIjvU7sZUJjt7Z3EBX+zdQZSqsq4gCy0Ie51G1vH6\nvBw25ufQv3EzPCU+/N4A8RX0h4qEQ+LoVrsFRVGY8+J3KIqCq8iNNToKLaChQZl4Yb1wAi6jIjI2\ns2ZVJsJkeDa1JRKB5WXLlhEdHc3rr7/OihUr+Pjjj7nnnntqfe6q8Di9vHDZLDJ2ZKGaVXb+lsqN\nr5RtJxMdb+fW16+q8Phfv/yNL6YvwFHkNQo5haGrYk+oPDYkpYZPzkCTOxAkYVMeR4gYIIpi+UQV\nV6tiZRVRrCq1e2W0IzGzFSmteBiLpDG6jArvVklpKdMC5kTCT1+K5VRimIoiDDVAhQKieZESpqLL\n7UBueLxN2YMqSsJH+2VnzDhwa3ae2jQAhI7XrPFd7m5ihQVVgCYh3mKhiS2azSt28eE/vyXgC9J/\ndDeueDiyuFppbnn9Kha8sZSU9o3Z/utu9KCOjk5+RiGXPjaOwqwigv4glz0+vg7uUBX8VQPEK1as\nYOTIkWFx49LUhbGJRGD5999/Z+JEY5dk8ODBvPvuu0gp61WGcc/6/WTsMESftIDG3s1HF99Y/vka\nI4vYbA4VMhnXmpdW+aeaT/6HgJwDIYEpj+7Frr4awdkkZlIrbMOiCDdWfsMjxxLkVPycg1muwBAF\n70egBh0j6xMLq7CLb9FkE5zcRJDOmOXm8C00SWObWxF90WQrDOEsK1I2gpCx0WU0Lu4iKHtRogUp\n0X8AUxGoOopJp0R4sCeZ6ao249yW7WgdE8eMj78hL8PYMNjw458kN7bTvncbOvavOg2iNFHRVi4J\nBf+Hjh+Mo9CJyWJi0sNjscVEccd/rq3LW1UpxzN5rzIiMjatW7emd+/e9O/fv9xzfr+fefPm1eoi\nIhFYLj1GVVXsdjtOp5O4uLKxliVLlrBkyRLAkD6sTTP3Ln10EpvGU5htuNvxSXFHNV9UVGgrVdeR\nQoRzeHoN7VrpPFmF+wiUKgxU1PxqzymDaeC6C/QcAhJU9MPymhgfcuaoliRHH5rnBaReBEhMSmIV\nhQzVYzKZanWPyxHchup8GSHzkAJsZhea7UVwXAayKHTOBJITkoFkAsFPKPG8h9nUGZt1DDjvheA6\nVCWKROvvyOhRJAMfXzCRab8t48e8XcjQrfEQ4PI+vbiglRFna9elBdtW7yEY0ChOy+GTaV8TlxzL\nvW/fzIDz+lR52bvX72X2gx8RkxjNfe/ehi0mCpPJxPPfPlJ39+Zo+Kt6NsOHD6/UgzGZTLWO19Ql\nR4o316aZuylWYeLUC1j51TqESXDt8xOPar6LHzqfvMwCXIUlCJOZ1t1a0HVIB0ZdM6jSeYJ6Kwzp\nBcND0bWEcmMFJViZj8SMj7HEMhVLuCsBBElEypaY2YkgiETi86zH4ckOzV2a2gWHk5OTa3WPjySa\nxcQqxnwCCPr3ku+LxcoUYngfIXTcwdNw5+UBflQK0LiBoM9EoOQBTKxGxU0MXqT3Kwo9wwjSEQE8\n1eM07H/qLMzdhYYkyWwjRTeHr3/c7cMQZsjel8fmRRvwOcGR52T5V6toN6DqXmCz7nmPHav3ADD7\nkQ+57IkL6/TeNG/e/KjGn4hb3xEZm3PPrTxLUlGU8PKmpkQqsJyfn0+jRo3QNA23212tDGFdMOSi\n/oy76dwKXzSuwhLmvrYEs9XEhLtGY7WXzdVo27Mlzyy8H2dhCfHJsREV3VnF7Ujc6HIXgkRsyuPE\n8i8sYisSK37ZCatYgCG1CVZ+hCP0hoOyBUG6oYSU8gQCE6koZIba3VaHJJZXQue04JB3H1VXydrg\nY0CodW9BSAenGQBWdmASxQgBMXxEQLYmTryHSg4ajSiSI1FYiiRIEHDLADYRxKd5uH/FMg6WlNA6\nNpbnhgylR0Jjfi86yLlNTkEPClKLimifkICiKoy/dQRSSl7OyGPX2lRiG8Vw5tWnV3vd9jgjMGyO\nMpPcsvISl2PFX3YZVd9EIrDcr18/fvrpJzp16sTq1avp3r37cW2bEfAFeenq2RzYZtQdpW5IY+qn\nN5e7JpPFRGLT6ht4HUIIEzbxcPh3G19hE4vCAVIzfyLRkQh0ITHJrfjpV0p/2NAv1klBShMmYezI\nSPzEMoti+SzVJfnZ+Aq7+D5cVR7PC+TLd6s9ri4I0olieR92vkOTjXGGaqJUkR0WNlSEm0SeQxFG\nQqWCE6v8KWRmDHSs+DiDj3cprM0xSjEyS1ws2JvKhR06cUFKJ97atImvd69BAuPad+C2UN8jIQT3\nvn8TGTuzSEyJjyjDt/fo7qRtz6Ddqa056zqjBYzb4Wb94i107N+ufrKEq+KvuoyqbyIRWD7zzDOZ\nOXMmd955JzExMdx99911dn6308PsB77AmV9C37O7c96N1TegyzmQT27aYW8sNy0fr8uHLbY2EZDy\nmNkcNjQGEkUoRnAcSQAzAq1MW1tFuvFyETa+QQl1vRQCLHIrCjnV7j5ZxM6woQFCzfGCHI1SX23w\nczp+Wdab8Ms+WNh4WD4Db7jTp5Sg0BuJhmAvEhslvAWyLTZ1ByoCLXTfokpJg67NzsIZMP7OdTnZ\nZc6nqAqtuka2dPGW+Pjm1R/ISy8k6A9SnOMgvkkcj57/PDt/T6VVt+ZM+/Z+TOaKZUnrgwbPpgqq\nE1i2WCzce++9dX7eoD/IMxe9QVaqsYWamZpLr+GdadEppcrjklLiiUmKweM0anjscTas0XWX8g6g\nkI3KxjK7bmW+S/AzskwdkYEZUPExDoucWUrqODIZTo8chYU1qMIIjGukcKwMTWWUcA1WlmFhf+ia\nkgjQCZPMQqMZLqYQxcpQJ1E/grfw8RwXdujItoJ8DjgdtI9P4Jw2h3eWWsTEsKPAUD5sFl2zvBoA\noQhESMVLURUUk4qu6RTnGl0nnAUufCU+TEfRc6zWNHg2Jx7vP/512NAAuIvdFOc6KzQ2uqbz9Ywf\nOLgri8ET+nLDCxOZ9/oSVFVh8iNjyiX8HWLlvPUsfHs5UkpGTB7EWVdHpl4XxVcoIhcNgSIFSIXS\np5CYCNANO7PCavo6TfBg5P24GUsUyzHJHYAVrxyOTvXxBD+DcMi7sbEYXcbj5I6Irre+KZIvEce/\nEHhxy/H4StVzCfJQcIYKVUEJ5d+YFIUnB1V8vx8bNJhOiYnoUjK5U8UdMiPBarNw7fTJLP90NYPH\n9yUulBB4zpSR/Dp3Dd2GdCT6WBoajm+mcGWctMYm6A8y77VF5WqZ2vZqSacBFedVfPbsNyx9/xe0\noM7OtXu5+53reeCDG6s8j8/t5+tXF5OXbuTWfPf2cvqf2yOi8gidZKMdr5BoGMsmIdWwp6ITTwz/\nRojDsYqA7E2AIZjZjkZjCuQMTOxGYsfCWpLE7YCKQ95OkMrfYD5G4pORdYasG3wIfCHZ04rRaUKR\nfLHC5yRJ6LRCUAiYMOFGZQ8aHSocD4YhurxL3chp9BjWhR7DygbRJz80nlHXVx1c9nv87NucRpse\nLbHa66bqHGjwbE4k3r7vU35bsMFY75vNSF3Sqmszpn5yCyZLxbclY2cmWtBYDDvzXWxbuYsOfaoW\nEve4vPg9h+MfbpcPV5E7bGz8oY6KFlP59byXi7DzFhDK9hUSjQSE1BF4EfhQhFbmdaXgIEnchko6\nOvG45PV4OQ8TW4gV/0MRhmsfz3Pky3eoq5eAiZ3YmYNOYujaNFxMqaTRXFnMLCWamYCfIP1xMY2j\nCUYH9TUoLEUTaSAkKgHsIh0r08iTs6lOXD27wMX2/bn069yc2Lp8w0fAjOve5s9Vu+nYvx2PfHVX\n9QdESEPM5gQi90A+UjfepjHxViY+PI6B5/XEElV5bKLzwA7sXrcPn9uP2WoiJ62gWh3Z+MaxtOne\nnK0rdqPrOm26NaNZe6My+eMVW1i0eS9Swpnd23DtsF5HHG1CpwkqB8KP6DRCoIXaufiRUiF4SCpT\nqgjALIwKZ4U87PwfXnkeFraEDY3xnBMFR0TGoDpU0kgUj6GKnDJdO81yG/lyFlSTNmjnX6iha1Pk\nj5iYSJAeFYwMEscrmMQBArIzTu7Aq79JQH5CnOIJ7boZGUoSicCFghO9CmOTnlvMU7OXk1fspk1K\nPC/cNhprJR829YGzwIWu6bgK67Z1b22NTXW1iodYvXo1r7zyCs8//zwdOlTuRcJJbGw6DWxPxs4s\nAr4AbXu0ZOjF/ao9Ztxdo/G4vCz+368EAjqrvl5PbEIMk6ZWXkMjhOAf/72aNd9uQgsEGTyuD6pJ\npdjtY+HGVPJdhtTEos17GdPnFJJjy67tpeiMQjogEQiCqOF4xKH50aPQMePiVmwhxbrw84f6djOY\noPwMU6h5nEajkN5N7YniZ1QRKpYs5ZCoZGAirUzP7fJ4gdJvNJ1DntyRRPMxNvEDQmiY2IaVVfiV\nQrI0D7qklDOkIqWVgOhUbYxq/Y4s8oqNLfScwhKyCly0San4vmSl5qCoCk3aRJYxnb4rk4+fm8Pp\nF/Wny2kV34OrnrmYRbOXc+bVdVwyUotlVCS1igAej4eFCxfSsWNV/9/DnLTG5tJHx9FzeFdKikvo\nd07PiI+LirWhaQCSoNfHT5+soOewjuUEs0rjKvKgmFXa9WqJOfSp6dc0gqU6NwQ1PbykKnOsvJJE\nsR2TyEKXJhTpKOOh6NKMKnRM+IjhJ4rlA5jlDkykoZOIW07AxFbszEdgbKEbuThx1JWckZ+u6DKm\nlERp6NpIROPI7pISgaeUBIYZH7Eo0iifCGIjyJEenoFKdrj2SxE6CgcxCWiClUzNC3osUUojLKgE\nRRMkNuLFUzjlnZUancE9WrJw9S5yC920bBJH8+SKE0UXvrmMBW8sQQjBxIfHMvzSwdXelxevmsme\nDfvYvmInzy6ZWmFMpvOgU+pFaqI2nk0ktYoAn3/+OePHj2f+/PkVTVOOk9bYAHQ/IzKLXJpBY07l\n5y/Wkn/A8C7cxR4+fPL/eG5xxX2ZctLyeeWmD8k5UEBco2iuePQCBpzTg+QYG73bNmX17gyQcGrr\nJjRLKL/9qtEBl7yUOP6LIrwIsiibNyjDCn4WuQmVPArkLEzsQaMJJtJIFI+jirLN7VR5EMOLqL3B\nCdAXl7ySKFYgCWK4GGZK5OXIUt6TwkESxeNGczmaUyhfQGLDx4NozMYwNtcBFacQuLgas9yKSg4C\nHyL0jlJpjkn0QOEC4sSTqMKFlIfvk0o+BfL1CudsnBDNC7eNJjPPRZtm8ZgriJ0BbP1lZ1inZsPi\nLREZm0NdE45snnBwdxaz7/0Ee6yNO9+eUreB4fDJa35oJLWKqamp5OXl0bdv3wZjU1+ktGvM3W9f\nw3MXz8TjMtz9gDdYaQX6ovdXkXPAeKM78kv4ec46BpzTAyEED40ZzO7sQqSEjimJgGSHbx7F2j5S\nTP1obTEyUa1ifVgSovQppDSF+kEZHoXEgsSGxE4Aw1uzif+UMTThY7FTd0KNbhS2EpQaAfpV2ncq\nTszCLIz6IZU87PJjSrgOCz+hoKLTAknlXSh0UiiQ/0Uhh2g+xsofSKx4uAeb0h8L0xChe1H6Pgmq\njofE2q3Etq76DT/kon4c3JWFUATDIjA0AA9+eCcf/fMLTr94QBmD8s3ri9nzh5EvtOnH7Qy4oHdE\n8x0N1Xk2U6ce1kM6sp6wOnRd54MPPuC22247qmtqMDY1oFWX5gwc25u1321EIOjQtw1Bv4bZWv52\nNm3dCNWkooWWSDGl8i2EEHRMORyg3eL9jNTA9+gEydW2IlBoZTmdoGyHZEV4i1uTMUjiCdCNoGyB\nnYVIdHxyMEHKuuSabGZEe0KJF7q0EaQdDll3Ox8xPI9V/AiAKneh0QY/oysYWfbjVqBh5mNMLEKg\nobADSQp+7qz0XBIbGm1w8AhmuY4ofuGQ0dTZTEAGMKGiY0GQhEDgkUfXAaEihlw0gD5n90RRRMSe\nSKtOzbjxlSvKPT5s8mD2rN+PNcpC58H1pNZXjWczffr0Sp+rrlbR6/WSlpbGU089BUBRUREvvvgi\nDz74YJVB4gZjU0Oumz6Jtr1aMe/VJaxbtJ3c9Dd58KMbsR7R6GzUlYNI25HFgR1ZxDWK5qrHK+/H\nVKzvQw/V9wRws877DjnaXvrZrkKV2ZjYj6AYv0xEoxNujJwZt5yMIctVvv7GxRQjUCsPoBNHsXwC\nnTqUhIAy/ccV4cEkt1dobJzyFlQyUHCg0YwSrsLMGyGjE+oayQ/4uYnqtqtV0kgQ01FFLlHyJ4rk\nk0A8btJABtAYRJB/ItCR1E2rW1tM3ZSidB3SkReWPwpQoTdcF9QmZlNdraLdbuedd94J/z5t2jSu\nuuqqht2oo2Hril189a8fUFTBldMm0LZHiyrH/7F4G8WhFrupGw6w9ddd9B3dvcwYRVGY8uyFEZ0/\nVmlBrrYN0I2KZxkgzb+C4ba1WEUaEECXTixiP1JuQRKFh5uqeTOZKZZPR3T+muKnP6rchSLcaLIp\nPi6ocJxGK/LlbASucIA6wNXYWBRuSyNlEVYW4qPirVYjbzoVCytRhRE3U0URVrkaFy9i4rWQ9/MP\nwHoi5rYB9WdkwvPX4g+PpFaxJjQYm1J8/vy3pG03pDQ/fmouj355e5Xj40rp1NrjbTRqUbut5J7W\nK1Ewsdu/hKAMoKNyiqWQaJETDoYKJBpGxwFVpkY4cyAsxVBdzktlCBwoZKPRmiO9Di/XodMGk9yG\nl/PQq8jaFQSwMwdQKOEKJE0JcgYmFodGmJFULh0Sx/NEiV+RmNBkXKg/VBM8jAaSCXLIsJ6oZuYY\nUcs8m+pqFUszbdq0iOZsMDalOJTkB6Dr1b9Yr3pqAgFfkOJcB31Gd6dNt6o9ocrw6h6+KvoIp1ZM\nI1MTOkeNYW9gOZoMkqAkAaUrkhVAQ5cxBDgNoxq7/L9RJRMzmwnQjgTxIipZ6ERTLO8mQGQBTmOe\nNGLFMyjsASlD8ZJXy5UVKPixiT+wsR6XvAofIyqcL0E8jFUYmdsWtlIoX8bNvSiyEIVCgnTBz5mo\nHEQSdUTSoY5FbApLS/hlZ5z6bQTohcahCu0AsUxFJQ2Ndjh5tsL7UxtSNxzgh/d+ZdCYU8t5sicK\nDbVRJzgT/nEW815fiqIIJj1Uvdh1VLSV214vHwA8WhY5vmGv39hazNNySTGNZnTMk2jST4yShJ+p\nmOQeJHY88nQEBfjpTRTfY+MDdJJx8kJ4m9nEZhLF06giF13awksUBSdJPIZTXoObikXajyRePI0g\npAIowMQuouTHeEI6MwY+YsT7mIThFcYyG58cTvmSgyAqGcZU4e13iSQWJ/8Oj4rjRaziVyRWSuRV\neBgXekZBJw7IQkrQaIaXssFfMz9jZi1C6CgyCxPrCDIoor81EqSUzH7wSzL35LDnj/10GtCuTND/\nRKHB2Jzg9DunZ7kEv4AvwOwnvyI/u4BL7hld4xYfVeGTpRvWSUqkC7uSRFDfTbH+EEW6F6sYTLTy\nj3AyXDQvYhabACPZzS5nUsJjxnNiTjieccjQHEKIIHYW4ZYVGZsgJvYgiUOjGSBRwtvqoauTopxX\nIwhSVi0wiFE0YCrzWIJ4FIVCpJQYPQecKOxHp23pu4FF/I4qjA6XNr7HI8eFny2SzxEj3wwZqJvL\n/QU6KUiiETiRxCDLJRXWAaW31U889U2Dhtqovx7vPD6P377fAkDmvjwe+6jqKu+aMDTmLHKCWbg0\nJwmmJM6INqQTSuSLaCGvwiNzsMiLMYlOAJjZiYrKIV2+Q9nBALpMQnJYue/IN4SsML8mSKJ4ADPb\nkNgpkVfg5hICnIKFLCQBJGYC9MfL5CPmi8YnT0OwHBB45XCOfGlZWI015HGAQEiBoIhY7qaEruiM\nROdsjJjN4YC3fkT8RicZB49Wei81uuPmZsxyDX7OQKN9pWNrghCCG1+azKL3fmHwuN4R94Y/1jR4\nNn9BCnMc4Z9dRZG3zD0aUswtuL7RXRRpBSSpjbEoxva5JFBqlBddFoMAlXTMIifUgE0gZRRubgIg\nlplYxWokdjQZg0JByPM45JWYCch2GL7KYStkZgsWNoXKAXzY+AG3vIRi+SQ2FqDgws2FFW6vAzi5\nF68cSqx4B4vYSJT8vswSx/AyLIgj6p4U8jCxFJ21BLAjOQOP7INCBiDwya6lxuZgYwk++hCkcmkI\nHxOq2M2qPe16teTmGZfV2/x1wYlY9X1S9/qOhEHn9iCxSRzR8Ta6DYq8f9DREqXYSDG3CBsagChx\nEQpNgGhM9MUsjHYiCsUouEsdbUGnMSb2YhPfYxKZKMIdqk0qXc8iUYSfKLEKG9+GH1XIJU68Tmnf\nW4ZLBkx4mEAJV1ZqaA4RKz7AIv7EIv4kRvwvnM0LEKA3Hnk+AdmBgGxCUFpCNVp6yOw5UPgdADPr\n0fGi48HCTwAInCSJ+4hV3iJRPIKZjRHe2ZoTDGgU5zrDZQd/Kf6Ovb7/7uRnOzHbrASCOjv+SGfp\nZ2uP2bmjlLHEK+8Tr8wmTnkNIQxHNMAp6JiRUoa0iJ3EMhPwUTZ2IimUz+GRZxKUTUoJhvswsy08\nJkE8gFnsCev5BmQzimXk3UYFHmJ5GZW9pR7zIijrCTq5iyI5DYEFkxAooinuUIKhJAWdMaGfDy9N\nDhk4E2mooQ6fqijEyq8RX19N8Hn8PDdpFk+M+Tdv3/95vZ6rPhB65V/HiwZjUwXOwhJWfbuZ3INF\nBAKSrLRC5r75MwFfsPqD6whFNMIkOiDE4QJBC0vRpAsNjSAaOhqqyCVIZ3wMRJMJBGUKbnkxOs0p\nlg/hk0PRpPHG1WQy7tAb28a7mNhX5pxuORmNDgiKObJNjIFW5vE48RzRyjehAkiBJu346V9hpnI0\nn2MS6SgigEnkY6EfJpoTRQJKSJfHxVP45DB8cjhOpgEQpB3BUCA5KJvg5ewa3c9IyUrNJWNnNo48\nF/s2p1c6TtdOwPUKJ6axaYjZVIHJYsJkUcu0zvX7gmFx6/omIL2s93yNxMdI2zbMIpcgHQnSDSi1\nQ4QFjzwPEBTLp1DIR2IPeQhBksS9Rr9vrPj0nji4Fw1jSWjiTzSCCGkYsyDN8HAWieI+TOxHJ5Yi\n+QwaRpO2KL4nRnwI6LjleOAO1FKN7oSQCBnAL7tSkdpegE7hXuO6VLDwY6jmKw+7fB0nM9Fpgovn\nyhwnsVEgX8UsNxLkFHSaVHjPNFmIThEm2tYqS7f5KU1p27Ml+RmFdD2tfP2Srum8fN07ZO/LZ/D4\n3lxyX+3rr+qUE3Dld9yNjcvlYsaMGeTm5tK4cWPuueeeCnuKT548mdatWwNGF8aHHqpY0qEusUVb\nmXzvaD547ntcxcaSoG23ZtW25MhOK+CD6YsIBjQuvm0YnXof7qaYdaCA+R/9TtMW8Yy9ckCVKn8/\nlswiM7iNobZsokRhKDdlL37ZGT99MLEfUClhKgEGho4SZTwKQ8Bqn2Ev8SHwo8lDsSeJghNj81pD\nl4kU8zxRrMDCeoSQqOQTw9vhkodo8QUmYeTK2JkH8lb8si9mdoSznBURIJbZ6LIpJnZhEVsIyC64\nuAEPY1FkMTY+AxzhAlGDqh1tSTR+KheL9+tbKNCfQMdFlDiDJPWJKuerCrPVxNRPb0YLaBXKxBbn\nuUjfkYUjz8W2Fbvhvhqfql4QESSlHmuOu7GZO3cuPXv2ZMKECcydO5e5c+dy5ZVXlhtnsVh46aWX\njvn19TuzCyPGDuT9l+ZjiTJz7tXls2/3bs0AIWjXzchiff/5H9jxRxoAH/9rCU99dB1geEWvP/Et\nWWlFqCaB2+XjstsNSYUMXy7v5SwkKIOMjO/L8PjeuHVDJN0m9HC8xSM9BHiDAHEgrwZxIVW9SXWS\n0IlDCcksSGzYmIefUxEEsIoDISl1kKIlumyH5CAScymxrdK1V6XPpQICFzcipUY0c1BClemK8GCT\nC7CIDSjCi5ktBGQHfJxJCVehyp8wh1rF6NKCRkdKuAeFHFQ2E6RfGS2cSCiR89HIAsArN1GoTccm\nRhKl1CypTwhRqR51QpNYugxqT/rObAaPq3uJiNrSsPVdAWvXrg3XVgwfPpxp06ZVaGyOJ1abhYtu\nG1Hhc5+/spjl//cHIBh5SV8m3n0WwcBhxb1DAukAjiI3Loc39LgRAzrEx3lL2OszAqDfFa5msfR1\nzgAAHqJJREFUSGwPEtTmOPRsVniSaWGSxAoVL/mAI/T1FXBxldcuiaVITiWGT0CqmMQe4pUZaLIR\nTjkFgKCUZGgBNHZgEnNAuRiPPBsL29BJLNPKxSlvJpa3AJ0SeRkxwjA+JdxCUHYijn+jCgdB2ZQg\nrYkSq9GlxCtdKHIHiDMB8HA1Qr4NSDxch5+zUEgnjttRRSZB2RYHs6rstnAkNnE2XrkanSIkhbjl\nfLzyV8yu15j1+X40XefWSwaS0qj2bZuFENz6Wu2zx+uLE3Hr+7gbm+LiYhITEwFISEiguLi4wnGB\nQICpU6eiqirjx49n4MCBFY5bsmQJS5YsAQzNjuTk2sspmEymSufZuzkTn9vIh0ndnElycjLXPHAB\ns/85n6IcBzYVfpu3maEXDqBjlyTadUph67r9xMbbGTmmb3heNfvw0kwogqRGSVykPMIWx1I0GSA6\nZihLcv9HV+UdYhTD41BVK4lJkfx9o4BRCM9bqJ6VxrEinzjrn0jGkOn+Ag8+wIXGG8RZUjHHPIZQ\n4lDhCEHN80JfEFPu3kxC6iPRAr+DqTdRSjzB4q3k+P8giB9FWUBS/Hgs5l4YRtIwlIck5qVnAbgN\ng2sS+0mKzUVYyifl+YOpIMxY1FZHPHMuTbSeeAOppDkeIah70HHyyfe72bDT0Gf5aOEWpt89NoJ7\nVnuqet3UOyerZ/PMM89QVFRU7vFLL720zO9CiEqDerNmzSIpKYns7GyefvppWrduTUpK+UZyR6qO\n5eXllRtztCQnJ1c6T3LLeFK3KCCgcct48vLyaNEpka49GrPonT8p2qWze/VO5v1nEY9+eRt3PHM+\nuzYfJLFxDCmtEsPzjo87nWKfi6AMckZML5yFRjJhc4zK23lpH7PJu4ZsSwqD7ZJEtTlodx/V32ei\nI4kiHlUUo0s7Dm9XXPpuPKVemLp04fN+QcD3A2bRDo1xwECMuqRDQVk/Jp5AkInVNhSXp7QynwAG\nhH52o+nXorHGmFvPoqjwJRTlFUoHj6UM4pPzEJTQRDTFpGQTlK1xOBojKfv3ufW38MovABWbuAmb\ncqRnZwW6YpPn42EFZtGOOFsyqlKArkuiLKJOXhN7N6fhK/HTuHUjGjVPoDDbgcfpofkph1sbV/W6\nqUzZsTKaN4+sFfAhTlrP5vHHH6/0ufj4eAoLC0lMTKSwsJC4uIrd5kNKYU2bNqVbt27s27evQmNT\nn3hLfPz4+VqatU+m9wijIdmUaWPp3K8NQoEhY04Nj83clVNmCXVwdw4Hth6ky+AOdO175CcynGJr\nwdOtp1R6bqdmLLl2+5PZ72/B5MS7STYd3QswSE8c8l6schkBTqVEj0fnC6x48IbiLxZ0jM22YhQ2\nYWEvFqKQqHgZj0oeKr8TIA0dnYDnAIIhyNAO2ZEookOofCIfAcSK1cCz4TouAJf+FH4WAwoB2Zx4\nhqNxD4jyr4WAXIvEEfr5F2yVLCPj1BuJwygtuep8HXuUBX9QY/LoilrEHB1LPljBFy98R8AXJDop\nminPXsQnz3yD1+Vj0tTzGTapYq/7ECvn/sHc15fSumsz7phZPyGDhgBxBfTv35/ly5czYcIEli9f\nzoABA8qNcblcWK1WzGYzDoeDHTt2MH78+GN+ra/d8Ql//rYXW4yVyQ+ey7CL+6GoCkMnlA8QnnnV\nEPZtSQ9loELTNsm07Fxz49jbNox8LROv7ibF3JYktWZzBYhB4U8Em7DSETdeTAKipYZCW8xKJhAI\nt4Ax40cRRi/xKPkVCo7QrpiKGx0j36bi1isAQiQRLwcQEIuxoBKlqGhyU5kxGmkY2cs6GvvRSAca\nA3eXm88kehOUuxGomEVkUhmqqjApQiOTf7CIL19cSMf+bRl15WkVjsnck0vAawTCS4rc7N2cgavI\nja/ET8au7AqPKc3WFbvJTSuodlezNjQEiCtgwoQJzJgxg2XLloW3vgH27NnD4sWLueWWW8jIyOCt\nt95CURR0XWfChAnl2kocC4pyjBYqHpePP3/by7Aqek31HNaJM68YxIYl22jRpRnj7zqbmMSq0/3B\ncK/znR7sVjN26+GGeW2sXbjMfD9u3Umi2gRF1Cwf08JsVAyxbVUEELIPknSEaISJ14GtwAFU5qLj\nQSIBYwksEKWKOk1ImmC2DsDn61PlOf3KFcSL34ESjCZyZXV/zOI0dHkQcGIhgGHA9lc4V7RyO1Y5\nGjBjEkdXPlKcX8JXs5bTpktTRk2s+H/3zkNfsn3lbrb8soNup3WgWYfy+TwTHzwPv9fPge2ZdOjb\nhgl3nUV0vI289EIujiDf5rJHx6CaVfqfW3svqzJE+a5Ax53jbmxiY2N54ony+RAdOnQIa5p27tyZ\nl19++VhfWjlOHdEZ33d+rNFmzptSdVOxdd9vYsHri/GW+CjMLGTig9Xr4wC88s0a1u3JwmYxcc/Y\ngfRoffjFblOisSnVG6zS7PJk4NMDdLe3CcUIDiv1ObQStvon08c2BCmjyNIOYhYdSTadQZDLgAAO\nHETL1wAVL+cTLWcgcBOgH34eIy62MSW+qmMgQbpRKD/C6Z/F/kAuqYHTOD9eDxvMaOVmouQYkPNR\nxUKMkPE1lc53qPL9aJk9bQHb1u7n9x930KxNI7oNbFtuTJTdqAkzW0xYbBV3R42KtnL9C5PKPHbu\n9ZV3hTiSmAQ7U56rehex1jR4Nn9tJj9wDmNvGY4lylytC5yzPw9vibH88Lq8lBS5iU2qWAtHSskf\nWw/iDQTZuDebYrePYrePr9fsLGNsjpYvcpezpGg9mtQZGNuZm5tdQIl8kMLADSj4+dXdjCA76Ws/\ni+8cX7HFsx5VqAyOHsYZMaMAC5JkXBzWMC7m/VCTuci3pH91rmSTezM5QYFGHKrYRLyawtDYw29Q\nVbQAcSvIGwEFaui5VcUh9UUpKy8zuHnGZSz9cAWn9GtHo+aJdX4Nx4qGmM3fAHtsZBq+Z151OhuX\nbqXgYBGdBnagabvKRZze/WodS1eF+inFmsAMJkXQOjnyN3RF7PCk45PGtvw2z1bc2mBsSgpLSkaR\nFdyPioneNmNJk+bfRwA/AQm7fTtCxqYizEgq74d+JC6thF+cK3DoRlBXQSCETkD6Kz5A1N9L8von\nzmfOG8tp1bEJPU6rWOfGardw/s0j6+0ajhUNMZu/GSVFbrwlXhq1SCr3nNVuZeoXlfc/Ks3e9EIC\noZ2rFtF2endOpEVSLJNOr3iHJ1KaWxqxx5uBBKJUBxt973Ga/X4ujL+Vde5lxKmN6B5lZNfGqfHk\nadkIFJLUqvtjHw2l4zwCQYKaQEtrM4bGDq+zc0RKUtM4bnr62OTYHG9O2q3vvyO7f9/Lf+78AJ/b\nz+mXDOCyx2su1tS1fWP2ZxSBkPTo2JRrxvWt/qAIuK7pOfjECkp0J+2j85ChHtpWxcaQmLLtViYm\nXs1K149YlCgG2YfWyfkBolU7I2NHsNG9icbmZMYnjK1xcLuu0HXJfx6cQ8aePE47vwdjb6y7v/dE\noWEZ9Tfix09WkpdmNGfbsXp3reaKtVuIsqioqmBI79Z1cXkAKEIwPmkMO/3zUUmkl/XqSseahYXh\nsefU2blLMyhmAINiyqc0HC8c+S52bUjHWVDCHz/u4PzrhvB/ry/DZFYZf9sIFOVvoLxy4tmaBmNT\nU06/eADbft2Jx+ml3am1MxC//L6P4lDN1NxF23jgpsh3NqqjhXkQLcx1113g70BcUjStOjYh+0AB\nXQe2ZeH/VvDDBysRQhDfOIYzJ1edlPdXQGgnnrVpMDY1pNvpnXhi/r24Ckto2aVZRMeUFLl5/aZ3\nKSl2c86NIznjEuPTPiHOxv6MIswmhTa1bHQXKVJK5s/bTEZ6ERdf0pumKYeD0Tn5LtZvP8iPa/YS\nY7dwzzWnE223VDFb1bicXj58dzUWs8qVUwZjjYo8wFwfKKrCff+5Al3TUVSFX+etx2w1o6iChMa1\nC8qfMNTS1mzYsIH33nsPXdcZNWoUEyaUDRMsWLCApUuXoqoqcXFx3HrrrTRuXHUniwZjUwsSU+JJ\nTImPePzXMxayfaXRH2rhf5eGjc1915/B/y3aSqMEO2ef0bFervVIvl2whblzNxEMaGRkFPHs80a7\nlPe//J1f1+7D6Q+ihbR3P1mwkRsn1XwZNHvWL6z/3ZDckBJuuP34x0jWLNjIglnLaNw6iTveuIrE\nxnGoJoUuA+tPZ/pYUpuYja7rvPPOOzz22GM0atSIhx9+mP79+5dJpG3bti3Tp0/HarWyaNEiPvro\no3BCbmU0GJsaEvQHWfrhCpq0bkSfalLhi3IcmMwqKe2bYLGZ8XsCZZrUR1nNXD722GqiZGc5w1IY\nXm8wXBi4ZWc2DpcPXRWgGDtJMbXwagCCpWrEfP66lVSVUrLm+634fQHOGNcbJaSi+MV7q9m9LYtR\nY3owaHh5pb2fP/+N9B1ZZKUVMmfGYibdXz/xquNFbba+d+/eTUpKCk2bGkWlQ4YMYe3atWWMTY8e\nh1/zHTt25Jdffql23gZjU0Nm3/cJq+auwxYTxXUvXsqgsYdT9nVN5793fUh2ai5JLRJIXb8f1aRy\n5TMXM3HqGNJ3ZHHJgxdUMXv9c8mkPqSlF+Iu8TNs+CnhCuTmTWJJzyzGalJo3DSOrh2aMPG8ntXM\nVjVX3zCE999egUlVuWpK5K1/I+GnOX/wxYwl6JpGYZaD8bcMx1HkYeXSnRQXevD5tLCx0TWdz5/7\nBp/bT9+zu7N3WyZeb5Cln6zh1BGd6dy/bZm5dV3nv3d+SO6BfK6bPonW3Y99iUxNqc6zmTp1avjn\nI5USCgoKaNTocPpDo0aN2LVrV6VzLVu2jN69q/+wbDA2NaQo2wESPE4vB3dmAoeNzfaVu/j92w1o\nQZ2Du7Lwe43EupX/9zt3/Pe6Y3aNv85Zy7L3fyGhaTy3zLwaS6lYSXy8jWlPGQZPSklxnpMDO7K4\n5fKBDOnflsQEG52qSEQ8Gpo0jeWBx2qn0ev3Bti78QCtujbHHndYObAo14nfFwBp1D4B2KMtJCRF\n4/UGSWl+OAbz65y1LPnfL2hBnTG3n4U1SsXj9qMFNeKTy2d3F2YWse2XHTgLSlj41o/c/KrRRbSk\nyI2UMqJat+NFdQHi6dOn18l5fv75Z1JTU8MCeFXRYGxqyKRHx/HpU18TnRDN+bca2baOPCdfvfQd\nTdslE9solqLsYmIbxaAFNBSzypCL+h/Ta5z37+/J2Z8PUrJo9k+MuWM0AH+uScVd7KHniE688Y/P\nSd+VTYnTi88ToEOvljz8wZQTbvv35av+y87fUmnZuRlPfntfuFxkzA1n4CwsIeAPMuke49PZZFZ5\n+MVx5GQ5aNHqcMlBSrvG2OPtaEGNFp2bkpRspyA9nza9WpLStrzIVWKzBHoM60LOgbzw/zj/YCHP\nX/IauiZ56LPbq8wMP67UYhmVlJREfn5++Pf8/PywxEtpNm3axNdff820adMwm6sP+jcYmxrS/tTW\nPPp//yjz2Kxb/8f2Vbuxxdm49LFxuApKGHHFEAK+ICaLWmltVH3w+w9bKMgpQZgtKEIS39QIZC/5\nYAVfvfwDQV+QXmd2ZfuavUZrmpDwen5mMV6Xr4z3cCJQmFWMruk48p14Xd6wV2G2mLj60fJLUmuU\nmVZtjaWAx+Xlz1W76XLaKTw65w4C/iCtujSn57Au/LFoM/3O6VXhORVF4ZaZRm7Smm/W8+79n9K+\nT1tchW50XVKc6zhhjU1tAsQdOnQgMzOTnJwckpKSWLlyJXfddVeZMXv37uXtt9/mkUceIT4+sk2S\nBmNTh/hDwc+gP0Bi03hGXF55J4Ca4CosoSCzmJZdUqr1PH5bsBFdM4K+SS0SwztfO3/bi9dlFIgW\n5ThIaBxLbnohJrOKPTaKdj2aY4uw/utYMurq01nzzXo6DexQ5fJlz7ZM9u7IYfgFPTBbDO9nxrVv\nsWP1HjoP6sAjXx1+08QkRjNscmQxpOWfriJ1wwG0oM6NM64g6A/SaWCH2v1R9UktuniqqsqUKVN4\n9tln0XWdkSNH0qpVKz7//HM6dOhA//79+eijj/B6vbzyyitAZB1PGoxNHXLdC5OZ88K3tOycQq8z\nu/HD2z/x3X+XktA0joc+u6NW3kJeRiEvXfMOxXkOTh3RlVv/XXWv6aGX9Cd1wwGC/iDDJw8MB4DP\nu2kE6Tuy0IIaIy8bRMf+bdm4fCd9RnXFGmUmNim6Vv2Wakr2vlx++3YjQy8ZSELT8rku59w4knNu\nrLpAsjDXxaynFlKUX8KBXblMedBYVnlc3jLfa8IFt45CC2oMGteXfudW7AmdSNQ2qa9v37707Vu2\nbGby5Mnhn6tS36yMBmNTh7Tq0px73rsx/PvXryzE4/RSlO1gzfw/GHnl6TWee9vK3eQcMNbR6Tuz\nKhzjKnLzxp0fkZmay2nj+/DkvDsJ+rUyuUDterXk2UX3IXUZ7ll19tXHSZQ7RDCg8e8p75C5J4e1\n327k6e9q1oRJ1yVSlyAhEDi8xX7jy5fzwzvLad4phTdueY9LHhpz1Muf7kM7031o5xpd13HhxEsg\nbmi/W58cejMLRdCiU+30kvuO7k7rrs1IbBZPj6EVJ/599PR8/lyzl+JcF4ve+5X0ndkVJh0KIaps\njnc0pO/K4qdPVuNxlvcaDu7O5vWb32PhWz9WOYcW1MI7dn5PJdITEdCoaSzX3Hsm51/Wj2vvPSyR\n0bp7S254+XJ++nAlvy3YwPuPflnjc/xVELpe6dfxosGzqUcm3HMuP3+2mra9WtFxQMX6KZESk2Dn\nya/vIOANYq0kyc5cqqGaUESl4+oKR76L5yb+h+z9eaz6ZgMPf3pLmeffffBzdq/bx9YVu+h62im0\n7VlW6D3oD/L1jEVYo61MuPds1n23meGXV6z7GymnntaOU08rnwUshCCxWTzeEi8tO0dWXvJXpqE2\n6iTj7OuHc9qF/di/OZ2AL1gmz+Vo+eqVRez8fS+Dxp7KmZdVHNS88slxBHwB9m3NYPTVQ2jfq3wX\nh7rEkefCWWjktrhC30tjthovL7PFhNVuLff8nH99zw/v/oJqUrn00THc/e4N5cbUJQ9+ejuOPCdJ\nzY5N/dlxpRYB4vqiwdjUIwFfkOcnvk7Gzix6Du/K/R/dUv1BFVCYVczPc9biyHNRlOtk5KWDKgzi\nWm0WbplRdeC4MnLTC/hi+ne07tqcsbefGdExLTo15awrTmf72t2MuKx8Zfnts65h3muL6DakU4XC\n4SaziqIqKIoI7xzVJyazenIYGoAGz+bkwuf2UVLkBglFORV3+owEW2wU9tgoHHkuouNt5QyNx+Xl\n82fnk9QsgbF3jq7RbtK7D33Jn6tT2fTjn7Tv3Yrup1dfECqE4Mbpl1XaiC0mMZornryw0uMvuvcc\nomKisMVEVdtrqSKcBSXomk5849q30/27IRo8m/KsWrWKL7/8koyMDJ577rlwR4Ujqa7k/UQkJjGa\ns64bxvZfdzLq2ppXOkdFW7n/vSls+XU3/c8pX/T5/tQvWDV3HWariYSmcRHnjgDs+G0v37/7C44C\nYxlksqhYbPUb6zmEoiqMubVmer+Ze3N5ecq76EGdm/41mS6DahcT+9txHAPBlXHcd6NatWrF/fff\nT9euXSsdc6jk/ZFHHmHGjBmsWLGC9PT0Y3iVNWfsHaN58LPba52b0ah5IsMnDSA6voJcnZAnE/AH\n+f6tH49qR+ejZ+azYdl2XMUehk4awBVPjqdj3zY1vs6gP0hmam6l3Qvqiux9eRTnOCnKdbJvW0a9\nnusviZSVfx0njrtnE0mzuUhK3k9mrp0+iT9X7aQwy0HGzmymXTiTRi0Sue3Vy7HFlA/MlsYa8mKs\nNguXPTqmjPTFIYIBjbn/XkRUtJULbh1Z5TLtX9e+Q9r2g3Qe2J673qy899MhpJTMe30JuWkFXPHE\nOOyxkSU+njqiC+dePxSv289ZV9ZtpvbfgYbdqBpyNCXvS5YsYcmSJYBR2ZqcXPuENZPJVCfz1BvJ\ncP6No/nu7aX4ApLM1FwyU3P5Y+E22nZrwZcvzafX8K5MeqB8y+Knvribhe8tZ9D5p9Kq7WHjPe8/\ni1n/4zYm3ns+axdu4Lu3lqOaVJq2bMJ5U0aEx5lMJlTNTFGOgzbdW1CU5cDt8JJ/sLjae7Z+2RYW\nf/AzaxZuwu8NEBMbw52vVW+gDnHzc1eEf/7klYX8PHcdA87qzvVPVB4nOpYc19dNPXuWNeGYGJtn\nnnmGoqKico9feumlFfb2rg1HanNUFrw8GpKTk+tknvrk7JuH0WNUZ955+CsydmcTk2Cndc8UZt//\nIakbDpC6aT99L+hJQpPypQBnXWfEeA79ja4iN3Ne/Z6iHAcFOUX0HNoJRTF2jfxBX5l7IQIq95/1\nLK5CN+feMJQRlw1kw7LtnH5x/yrvmcfl5d+3vk1+eiEWu5XoBBtN2ifV+D6vX76NzH15bFq584T5\nX9Xl66Z58+ZHd8DJGiCuSR1FaSIteT9Z8HsDzLr9fZwFJVz7/CRahTSQ581cSurGNCx2C9f980Ja\ndWlGUrME9m1OJzrBFnGDPavdgj0uiuI8JwlN4hh/5yhi4m1ERVsZcmHZepn8g4UU5zoJ+IKk78zm\n9plXcu6N1feEUk0qZosJRRH0PqsbF95zLs3a17yC+qI7zmTh/1YyopIe3icdJ2CA+C+xjIqk5P1k\nYsvPO9iwZBsA819bxO2zjKVHdIIdRVWIslnCrWNvnXUtO9fuoVWX5hHvMpktJqZ+dBMHth+k84B2\nKIrC6Gsr7m3esW87Rl97BpmpuVz+eOQN4CxRZu7/6Gb2b8mg96huqCaVbSt38c3MJfQ7pydnXVN1\nL/Vy19GnFR37TKYwx4mzyE1sgv2ojv/b0dA3qjy//fYb7777Lg6Hg+nTp9O2bVseffRRCgoKePPN\nN3n44YcrLXk/WenQpw0tOqXgc/vK7HJd+fg42vdsSbNTmpASKjQ0mVW6Del01OeITYqOONdm4oPn\nHdXcjjwnL1/zNrqm8493pqCajIS++a8u4s/VeyjKdhy1sQE4sCObV+/+AnOUiUffu+bkNji6dryv\noBzH3dgMHDiQgQPLJ3QlJSXx8MMPh3+vqOT9ZCW+cSxPL7wPLahhiTrsrSiqwhkXV60G6Mh3oSji\nuEpablu5m/1bjNSFDUu2hQ3LqaO6UZTt4JQKtt5fv+ld0ndkcvGDFzDwgor1bn0ePz5vACkIi7mf\ntDR4Ng3UFapJDXsEkbLjtz28edfHCEVw19tTaNO9RT1dXdX0Pbs7/c7tia7pnF7KOJ5300jOu6ni\nJL8D2zLI2ZfHH99vqtTYdOzdin/MmEhUtIXEkz2r+ASM2Rz3pL4GaoesZtch7c+DrJm/Hl3X2b1u\nHwWZRRRkFrFvc9oxusLyWKIsXPXMxeiazjczl0R0zPh/nM2gcX2Y/Fj57fvSdOzdilYdm9bFZf61\n0bTKv44TDZ7NX5i9m9J4884PsNgtPPTp7UQfEaNw5LuYcc1bFOU42L8ljQn3nkfmnlxMZpXTLy6b\ncvD7wo1ERVvpMazLMbn2uTN+YOOy7ezbks55N41g47LtfPPGEjr0bs1NM64oN/6MiYM4Y2JDG+GI\nOVm3vhuoH9YuWE/mnhwUk0La9oN0Oa1sMzap6+i6jtR1ggENS5SZG/51abl5Vs1dx3sPfIZqUXng\n41tp37vm5QqRMnTyQPas30+jFolEJ9hZv3gL2am5R700bKASTtakvgbqh/NvHUXGjixikqLpOKC8\nYFR84zhu/891HNiWwYgqRKlMZhWhCpQ6VPCrjg692/DM9/eHf7/8yQmYzCoDxxzbzqB/V6Q88YyN\nkNUt+v/iHDx4sNZz/BUyiGvL1l93YrWZOaXf0fW6PhnuTU05nhnE5yZWLkT2feHs2l5OjWjwbBoA\noPsZR5+L08AJzAm4G9VgbBpo4G+IPI67TpXRYGwaaODvSC0DxNWJ1QUCAWbOnEnq/7d3xygKA2EU\nxx9oY2JaL2BpaQpLsfUY1kKuYGevV7DIGVbESiwsrT2CjaCNWbdZJLqOkwV31Nn/D6YQwyBf8TAh\nedlsFEWRkiRRrfaz+jWP+2wAH50+zcuiSFndbDZTGIYajUbqdruaTCbWfQkbwEOnLDMum3xZXblc\nPpfV5a1WK7XbbUlSq9XSer223mBK2AAeOn2/HfTWsrlVVrfdbo3HlEolBUGg3W53d1/vr9n8unTo\nj/fxEbMxe9ZsPrLU+N3hcNBgMDh/vi6c+yv8symg1+s9+ye8LGZj9qqzqVQqGg6H53UdNEXK6vLH\nZFmm/X6vKLr/8CthU0AQ/ONeFAtmY/aus8mX1R2PRy0WC8XxZXVJs9nUfD6XJC2XSzUaDev7yrw/\njXqEMHxe98urYzZm7zobU1ldmqaq1+uK41idTkfj8Vj9fl/ValVJklj39f5xhUeYTqdOzmnfEbMx\nYzaXCBsATnDNBoAThA0AJwgbAE4QNgCcIGwAOEHYAHCCsAHgxBeQh7kLRkF8/gAAAABJRU5ErkJg\ngg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10995dfd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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MTqdisBrYkVmIDGi8/dR8vv/PapZlZNKxWxqV5U7y95ahefygabgqPaxdvBME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      "text/plain": [
       "<matplotlib.figure.Figure at 0x1089ef0f0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "for sigma in ['bandwidth', 0.01, 0.02, 0.05, 0.1, 0.2, 0.3, 0.5, 1.0, 5.0]:\n",
    "    ms = MultivariateKernelDensitySampler(sigma=sigma)\n",
    "    ms.fit(X_train)\n",
    "    X_sampled_ms, similarity = ms.sample_near(doc, n_samples=500)\n",
    "    pd.DataFrame(X_sampled_ms).plot.scatter(x=0, y=1, s=similarity*20, figsize=(4, 3), \n",
    "                                            c=rf.predict_proba(X_sampled_ms)[:,1],\n",
    "                                            colormap=cmap,\n",
    "                                            title=str(ms.sigma_))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "target_names = np.array(['outer', 'inner'])\n",
    "feature_names = ['x', 'y']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(array([[ 0.,  1.]]), 'inner')"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "proba = rf.predict_proba(doc.reshape(1, -1))\n",
    "proba, target_names[proba.argmax()]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "Let's use LogisticRegression to explain prediction of RandomForest at a single data point using LIME algorithm.\n",
    "\n",
    "To do that, we need to \n",
    "\n",
    "1. define neighborhood and generate samples from it;\n",
    "2. train a local classifier;\n",
    "3. explain its decisions.\n",
    "\n",
    "The most tricky part is defining neighborhood and sampling from it. eli5.lime.samplers help, but you still need to choose a good sigma value."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "At (-0.3, 0.5) point model should predict \"inner\" label; to get from outer to inner it is required to either decrease y or increase x, or do both; y is an easier way. It means a linear explanation should have positive feature for x and a larger negative feature for y."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([-0.3,  0.5])"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "doc"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# doc = np.array([0.0, 1.0])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# from sklearn.tree import DecisionTreeClassifier\n",
    "# from sklearn.linear_model import SGDClassifier"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "sigma=bandwidth, metrics: (mean_KL_divergence=0.0579; score=0.9243), point *y=inner* probability: LR=0.956, RF=1.000"
     ]
    },
    {
     "data": {
      "text/html": [
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       "top features\n",
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       "            \n",
       "                <th style=\"padding: 0 1em 0 0.5em; text-align: right; border: none;\" title=\"Feature weights. Note that weights do not account for feature value scales, so if feature values have different scales, features with highest weights might not be the most important.\">\n",
       "                    Weight<sup>?</sup>\n",
       "                </th>\n",
       "            \n",
       "            <th style=\"padding: 0 0.5em 0 0.5em; text-align: left; border: none;\">Feature</th>\n",
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       "        +10.116\n",
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       "        &lt;BIAS&gt;\n",
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dTZs2eRVsfKl+1jF/TQ4M3sTD0HzekkzEdBbsiZit9tb3ypUrXb6n695fBHqa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\nAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10933a630>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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Pd6Ge9d1sB4i3bdtGZGQkiYmJDS6+8iZZz5AhQ9i8eTMAO3fupH///qb8hhfC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\nFBJshBBBIcFGCBEU/wugzKc1LRPswAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1090c5470>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x108c0e400>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x108c900b8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x108d54438>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x10994e2b0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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yeb/Kxz+dZ/NcxdbnnW3OoBmUHtSqVatw4cIFi+Nz5841e89xnM3tzDdv3gyV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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x108d547b8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x108d18cc0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x108e608d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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cOXOGzp0788QTT5CcnNyi3N13302vXr2A+puAPfPMM6FuqhCRQ3o2LW3evJkr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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10992c048>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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KrPA2/aBxNsM4vNtakjic1KfEJqq2pQBqolS3bzSKMbI7iCN0tyV8\nBWUYOBD5hgVFsHdG+7ZmGiOk9y0QtmzZwu23386tt97K6tWrvZbbsGEDU6dOZdeuXV7L1KPEJuoY\niayFIxFU+C2lk4GdQUHUq2GlYfleSToO+oXQvkji787wJUbtW3jCcRAHkl8KoLq6mjVr1jBgwICA\n2qTEJqQp8YFirNsi+TFLBFUY2BvBOhsQlESl3tAw4G55NvVyNv5c23m3qSlhOIgDyS8FsGLFCi69\n9FJMpsDmnSkHcYsQWtY+Z5hBZrO90Vw/W2Cty6kcCQGOZMqH+julqXAHsupE+8OfBTNvXsN6303T\nsgSSX2r37t0UFBQwcuRI3nvvvYDapMQmXKQkWmkNmgtN9PEmZM68PM5RIEly3T5/CdiDFZv6O6Tx\nZym8/E8A+9sxfsRm4cKFvgv4qlrXee2115g9e3ZQxymxCRchaB+9UU8JwPzZ5MFGlofyOSqh8UQ4\nQ9/+8kvV1NRw4MABHn74YQBKSkr461//yt13302/ft79fEpsAqa1z92oxRnT5fmG1jjayKppbql5\nyjQosQTZhnorMFLLrrT27yR6hDNTuHF+qYyMDNavX89tt93met9isbB06VLX64ceeoirr77ap9CA\nEpsgaN0/aoEDiYb3G9gpAM7k6QZ0OrZAqyTuqyNAQxbE9mAtRpEwLJtA8kuFghKbiBFbR6WgFIml\nzsGb3Ox9dyukeYqMev+QTjSTdwvcrRqB+7LFTd8PpD6FJ8KdQewvv1RjHnrooYDqVI+PkInmUGtg\n83IaL/srSQdMSJIRlCMo93KUHvTKmk6ivY5UNKcgtENUbFRboumNEckbxdPTXccpQg0Bi95yG3tP\nEA7O50vjr73xiFFTH0j9om9Gmnd36g+J1ITFxudVw9nh0moTnivCIZTHiaevRaN5ZHT9zVhDMIEv\n7l2qhmj15hZP43Z4i8pWghCPqBQT7ZKWsFvrLY5QujqNLaWmo0s2/Bq/oqmVFAlUlypsVDeqreLL\n7G+pG0fDf95eCO4rD/bnUb9uk6R5V1ANU7ck8diNUmITEXzdRN58EZH0SwTyNQb6VVtpEK1QDN/6\nY5rOk6kXG2+io8QoksRjPpuYi01FRQWLFi3i2LFjdOrUiTvuuIOUlJRm5aZNm0avXs6Ul1lZWfzx\nj82TfceWeL1ZvK3eWb/+VdM2B7J0SiA0rVf12FsUZdk0Z/Xq1ZxwwglMmjSJ1atXs3r1ambMmNGs\nnNls5m9/+1sMWuiLxo8Pf0LTVIxiLUz+vvqmcU31ohWoRRZsHFOwn0e8int8EI+WTcwfNxs3bmTc\nuHGAczE8T6Hs8Utr+LEHM0nORsMjsakYxVs6h9bw2ccOoUuvW6yIuWVTWlpKx47OqfEdOnSgtLTU\nYzmbzca8efMwGAxceumlnHzyyR7L5ebmkpvrXIFg4cKFZGVFc0asc0XQaJ8DKesCPkM51gEiyBQX\nTY/xUYfP6w+n3a2EFvn+Q6DdOogXLFhASUnzpExXXHGF22shBMLLj/P5558nIyOD/Px8HnnkEXr1\n6kXXrl2blWuam6OgoCDM1vsmKyvLyzki6QAOp8sQie6G96BI79ffPmip6+/evXtwB8SD8dmEFhGb\n+++/3+t76enpFBcX07FjR4qLi0lLax5dDLhC3Lt06cLQoUPZu3evR7GJH3zd4MEKQKhi4StyOpg2\neKqjJXwmyi8TKvFo2cTcZ5OTk8Nnn30GwGeffcbo0aOblamoqMBmc06LLysr45dffqFnz54t2s7I\n0lI3UKy+3kg9VpXQhEq4Cc+jQcx9NpMmTWLRokWsXbvWNfQNsGvXLj766CNuuukmDh06xJIlS9A0\nDV3XmTRpUisXm3gg3FikQOcWKWJBPFo2QkoZh727yHH48OGo1t86fBb+uiOh+5carr99TtaLV5/N\nmKue8PrehuV/CLc5IRFzy0bREoQ6JyYS52i7QhPPxKNlo8RGoWiDiMguPR8RlNi0OXx1W8IZjlc5\nZloT8TiDWImNwgNNBUsJTWsjljOFvaHEps0RiVGiaGYhVLQI8ac1SmwUiraIsmwUCkWLoHw2iggR\n6tyVtj3nRdGAGvpWxBglNO0GR/yZNkpsWiVKNBS+CbcbtWXLFpYtW4au60yYMIFJkya5vf/BBx/w\n8ccfYzAYSEtL4+abb6ZTp04+64x5IKZCoYg84STP0nWdpUuXMn/+fBYtWsS6des4ePCgW5k+ffqw\ncOFCHn/8ccaMGcMbb7zht14lNgpFWySMpVx27txJ165d6dKlC0ajkdNOO61ZBs3jjz+ehATnMkAD\nBgygqKjIb72qG6VQtEGEH5/NvHnzXP83TThXVFREZmam63VmZiY7duzwWtfatWsZMWKE3zYpsVEo\n2iDCTzKHhQsXRuQ8n3/+Obt37+ahhx7yW1Z1oxSKtoguvW9+yMjIoLCw0PW6sLDQlSmzMT/88APv\nvPMOd999NyaTyW+9SmwUijZIOA7ifv36kZeXx9GjR7Hb7axfv56cnBy3Mnv27OGll17i7rvvJj09\nPaA2qW6UQtEGCWdSn8Fg4LrrruPRRx9F13XOOusssrOzWbFiBf369SMnJ4c33niDmpoannzySSCw\nhSOV2CgUbZEwY6NGjhzJyJEj3fZNmzbN9b+vRQy8ocRGoWiD+HMQxwIlNgpFW0SFKygUipZAWTYK\nhaJl0OMv7DvmYvPVV1+xcuVKDh06xGOPPUa/fv08lvMXGKZQKBoRf1oT+3k22dnZ3HnnnQwZMsRr\nmUACwxQKRQNC171usSLmlk0gK1s2DgwDXIFhalVMhcILqhsVGsEEhuXm5pKbmws44z+ysrKi2jaj\n0Rj1c8Qz6vrj9PrjT2taRmwWLFhASUlJs/1XXHEFo0ePjui5mkawRntp1Nax/G70UNcfn8vvxrK7\n5I0WEZtQZhs2JtDAMIVCUUccrq4QcwdxIAQSGKZQKBqh6963GBFzn80333zDK6+8QllZGQsXLqRP\nnz7ce++9FBUV8eKLL3LPPfd4DQxTKBReiMNJfULKOGxVBDl8+HBU61c+C3X98eizuaDvXK/vrdnz\nZLjNCYmYWzYKhSIKONqpg1ihULQwcdhhUWKjULRF2uvQt0KhaGGU2CgUihZBiY1CoWgR4nBSnxIb\nhaINIh2OWDehGUpsFIq2iBIbhULRIqihb4VC0RKobpRCoWgZlINYoVC0BMqyUSgULYOMv3k2bT7q\nW6FQxAetInlWPDNr1qxYNyGmqOtv39cfDEpswsRiscS6CTFFXX/7vv5gUGITJsnJybFuQkxR19++\nrz8YlNiESeOVHNoj6vrb9/UHg3IQKxSKFkFZNgqFokVQYqNQKFoEJTYKhaJFUGKjUChaBCU2CoWi\nRfj/T4UkXTb0O6AAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x109807a58>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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OLHLF74AahBAY8gysUkPnQ4RwIkVmXf0VZPAgJn5CCDu18nwEVgQ2yrmbankZ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\n/wfi7VIzh7kVVgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1095304a8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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QPvNbwzEHEBwEIvPpyRE3oLIl/I4tRJLqEzSC+Bjvm/VBiqBLokj8z0Ad4bK5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\nBVPYmJiYxAVT2JiYmMSF/wdMHh8gIcpGuAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10965a860>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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syqn2fZxs308Hy0Fs4kdSuBuocvpzyTLcern/d4FqR8gM0pVuZCjtkPgMTYpQ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\nRFow2BCRFgw2RKQFgw0RafE/fptrhE7tZmsAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1095fd2e8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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CAUIVSEDokHFULpJFVXnlwvP4xcqvqA74yYxx8uNhw9AUhaemnE2J18NDW79m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\n7UrQS20AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1095fd400>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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yChw4VS0iAfS5KlqHglLBt6JHkpGRvVJYtj8Nl0YSZtQxsnUK8eGhPDhyAD/s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\nAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1090d2cf8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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h//2pTDwE+GptNh99tx9v85qqV3IEf31k1gmP5/Z4uf8fK6ms9xVp75UQwaL7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\nRK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x109836588>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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Nv2bNGoYMGcJll11GUlISr7/+Oi+99FKdoRxBYdNACrOKSfxjLy26JhBzUfXI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      "text/plain": [
       "<matplotlib.figure.Figure at 0x10961ee10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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uo6i2GZNRYWJmCv939mRCTUaE5AuNkCVUBQalx3Hvwhn7DIRdvaWUlg5OkC02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\na4QZDFg1N0/nrefSfkOwejykhIVjUhR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RrEpUVWHjzgaeeHY9/pAdfu2r6+C7nz+fOTPL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      "text/plain": [
       "<matplotlib.figure.Figure at 0x108b58dd8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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BW16aSEgDqypez+9qSEjPdZJwTkf2b0lH2sw4Y0LYnG3n7XdW849bvRa34bGh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      "text/plain": [
       "<matplotlib.figure.Figure at 0x108cdb0b8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "for sigma in ['bandwidth', 0.01, 0.02, 0.05, 0.1, 0.2, 0.3, 0.5, 1.0, 5.0]:\n",
    "#     s = UnivariateKernelDensitySampler(sigma=sigma)\n",
    "    s = MultivariateKernelDensitySampler(sigma=sigma)\n",
    "    s.fit(X_train)\n",
    "    samples, similarity = s.sample_near(doc, n_samples=500)\n",
    "\n",
    "    est = LogisticRegression(fit_intercept=True, C=100)\n",
    "#     est = DecisionTreeClassifier(max_depth=2)\n",
    "#     est = SGDClassifier(loss='log')\n",
    "    y_proba = rf.predict_proba(samples)\n",
    "    scores = _train_local_classifier(est, samples, similarity, y_proba)\n",
    "\n",
    "#     est = Ridge(fit_intercept=False, alpha=1e-2)\n",
    "#     y_proba = rf.predict_proba(samples)[:, 1]\n",
    "#     est.fit(samples, y_proba, sample_weight=similarity)    \n",
    "#     score = 0\n",
    "\n",
    "    def _predict(X):\n",
    "#         return est.predict(X)\n",
    "        return est.predict_proba(X)[:,1]\n",
    "\n",
    "    def format_metrics(dct):\n",
    "        return \"; \".join(\"{}={:.4f}\".format(k, v) for k, v in sorted(dct.items()))\n",
    "\n",
    "    print(\"sigma={}, metrics: ({}), point *y={}* probability: LR={:.3f}, RF={:.3f}\".format(\n",
    "        sigma, format_metrics(scores), target_names[1],\n",
    "        _predict([doc])[0],\n",
    "        rf.predict_proba([doc])[0, 1],    \n",
    "    ), end='')\n",
    "    \n",
    "#     expl = eli5.show_prediction(est, doc, target_names=target_names, feature_names=feature_names)\n",
    "    expl = eli5.show_weights(est, target_names=target_names, feature_names=feature_names)\n",
    "    display(expl)\n",
    "\n",
    "    pd.DataFrame(samples).plot.scatter(x=0, y=1, s=similarity*20, figsize=(4,3), \n",
    "                                       c=_predict(samples), colormap=cmap, \n",
    "                                       title='LR, sigma=%s' % sigma)    \n",
    "    pd.DataFrame(samples).plot.scatter(x=0, y=1, s=similarity*20, figsize=(4,3), \n",
    "                                       c=rf.predict_proba(samples)[:,1], colormap=cmap,\n",
    "                                       title='RF, sigma=%s' % sigma)\n",
    "\n",
    "#     print(\"\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In a small neighborhood most examples can be from the same class, so it is easy to get good accuracy. KL divergence is a measure of how well probabilities are approximated. For small, but not tiny sigma values (== small, but not tiny neighborhoods) LogisticRegression is able to approximate RandomForest well (score is close to 1.0, predicted probability is close to RandomForest).\n",
    "\n",
    "When sigma is too small there is not enough data for training: all points look almost the same, and the prediction is explained mostly by `<BIAS>` feature; when sigma is large there is too much data and it is no longer local. In this example 0.2 and 0.3 sigma values look reasonable, 0.1 and 0.5 are worse, but also ok. When sigma < 0.1 the data is too 'flat' and classifier explains it by bias; when sigma > 0.3 the data becomes too complex for a linear classifier.\n",
    "\n",
    "In \"good\" sigma range coefficients make sense: y is negative, meaning we should go up to get from the inner circle; x is positive, meaning we should go left to get from inner to outer; bias is positive, meaning that we're in inner circle.\n",
    "\n",
    "TODO: how to choose sigma? Incorrect sigma value => explanation which doesn't make sense."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.5.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
